{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br><br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Listed Volatility and Variance Derivatives\n",
    "\n",
    "**Dr. Yves J. Hilpisch &mdash; Wiley Finance (2016)**\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/lvvd_cover.png\" alt=\"Derivatives Analytics with Python\" width=\"30%\" align=\"left\" border=\"0\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Model-Free Replication of Variance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Spanning with Options"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Log Contracts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Static Replication of Realized Variance and Variance Swaps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Constant Dollar Gamma Derivatives and Portfolios"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Practical Replication of Realized Variance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "import scipy.stats as scs\n",
    "def dollar_gamma(St, K, t, T, r, sigma):\n",
    "    ''' Returns European call option dollar gamma. '''\n",
    "    d1 = ((np.log(St / K) + (r + 0.5 * sigma ** 2) * (T - t))\n",
    "              / sigma * math.sqrt(T - t))\n",
    "    gamma = scs.norm.pdf(d1) / (St * sigma * math.sqrt(T - t))\n",
    "    return gamma * St ** 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "t = 0.0  # curent date in year fractions\n",
    "T = 1.0  # maturity in year fractions\n",
    "r = 0.01  # constant risk-less short rate\n",
    "sigma = 0.2  # instantenous volatility"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import pandas as pd \n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns; sns.set()\n",
    "import matplotlib\n",
    "matplotlib.rcParams['font.family'] = 'serif'\n",
    "%matplotlib inline\n",
    "gammas = pd.DataFrame()\n",
    "## 300 data points over the range form 0 to 300\n",
    "s_range = np.linspace(0.0001, 300, 300)\n",
    "strike_range = range(25, 226, 25)\n",
    "for K in strike_range:\n",
    "    gammas['K=%d' % K] = dollar_gamma(s_range, K, t, T, r, sigma)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 300 entries, 0 to 299\n",
      "Data columns (total 9 columns):\n",
      "K=25     300 non-null float64\n",
      "K=50     300 non-null float64\n",
      "K=75     300 non-null float64\n",
      "K=100    300 non-null float64\n",
      "K=125    300 non-null float64\n",
      "K=150    300 non-null float64\n",
      "K=175    300 non-null float64\n",
      "K=200    300 non-null float64\n",
      "K=225    300 non-null float64\n",
      "dtypes: float64(9)\n",
      "memory usage: 21.2 KB\n"
     ]
    }
   ],
   "source": [
    "gammas.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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dQqYCgoAMQCFJ0p8lSXpVkqTXJEm6OnpyBHDgyrUG6pOyuN8pWhAEQTCz1KJT\n9Y8t3doxqF1/i9bVHHrJruer9mFS57EYTEb+l7qUSl2VrUNqMpQODvg/9TSYTOR/uQiTXm/rkJot\nqyyJIUnSEOofY66XZfkY9b1l82RZ/gCoABZcOdXvyvdXlV85JgiCIFhQjb6G5fIa7BR2TIh83OID\n2q+NJevdt0mOJfs9UT4Sw4OHUKItZVFaIkaT0dYhNRnqcAmPuAHoci5SvOkHW4fTbFlloL8sy1uA\nLZIkfSlJ0lRZlj++7uUkIOHK1wXA9fOu3a8ca5Cvr+Wmags3Jtrd+kSbW19rafNPfvyeUm0Zo7uM\noFtwJ4vWZTIayd64DpRKwp58AuffaeOm2u4T2ozikjaXo7mpJOXtZGzXpjVj9E7caZt7PT+ZYydS\nKF7/Pe0Hx6Fu29ZMkbUelh7oHwkEy7J8NW0+D4RIkjRHluXXrhwLB66ucroBePPKtfZABLC7sXqa\n2tiD1qApjvlo6USbW19zbPM6vYH84hrKqnTUaOsfI9mrlHi6OtLG0wkXJ/vfXHOuLJPt5/YS6KKh\nb5s+Fr/nyuSj1GTXr0tWqXKh8lf1NfV2fyL0MTJLclmTvgl/ew3RbaJsHdIdM1eb+46bQO5HC8j4\n8CPa/vF1FEqxRv2vNZT8WrqnTAtMliQpBnCgPsl6EZgpSdI8oBDoArwAIMvyIUmSdkiS9A71sy9f\nlWW53MIxCoIgNFt6g5FTF0o4cbYIOauU3KIqGpq+5ePuRGiQO12Cfega6oOrWsXKn9YCMEZ6GJXS\nsr8WTCYTxT9sAIUCrweGW7QuS1HbOzMleiLvHVnA0lMrmXX3S3g5edo6rCbBNbYHrj3uovLoEcp2\n7cRz4CBbh9SsWPRfnyzL54DHfuelG66QemWcmSAIgtCA4vJath29yN4Tl6isqQPAwV5Jp7YeBLZx\nwdPNEbVj/Ue8ts5AaaWOgpIaLuSVczi9gMPpBSgVCtpFXabAJYee/t0J8wy2eNw1GenUnj+Ha2wP\nHAMDLV6fpQS5BvBop5Esl9ewKO1rZsZOEQvLXuE3bgLV6acoWrUSl24x2Ht72zqkZkMsHmsh6elp\nLFw4H71ez9SpMwgPl5g+fQqSFMGYMePp0KFjg9fn5FzkP//5EJVKxdtv/7wn5ttv/5X27TtgNBrJ\nybnIH/84C0dHJ5KTjzJ//ge4ubkD0Lt3P8aOnWDJWxQEwQZKK7V8v/c8e05cwmA04aa2J75HW3pG\n+BES6I7vPeMhAAAgAElEQVTKruHHRSaTiUuXq0k5W8RBOZt8x2TQq5APaThgyqNXZ3+UFlzjsPiH\nDQB4DW2evWTX6xd4D3LxGZILU9l4YRsjLLzQbnOh8vDE9/Ex5H+5iIKvlhA4faZYN/MmtfikrCRn\nK9Wlp8xaptozCq+gwQ2eExnZmdjYHtTW1tCtWwyJiUsYN27itU3JG5OWdpI+ffpx+PDBa8eMRiNB\nQW156qn69Xzef/9d1q5dxZgx9XuOzZyZQExM99u8K0EQmjKD0ci2IxdZu+c82joDGm81Q+9pzz1R\nGuxVNz9uR6FQENjGhcA2LhS7/0jRpTra6npyrsjE/9afYvPhLMbEdyKyg/m3aau9cJ7q9DScIyJx\nDgkxe/nWplAoGBfxGFkVF9l0IYlOnqFI3mG2DqtJcO93L+WHDlKVcpzKIz/i1vNuW4fULLT4pMzW\ndDodCxbMJT5+CFFRXQDYs2cna9eu5td/OGg0gSQkvA7AkCEPsHHj+l+8rlQqmTx5yrXvTSYjzs4/\nb0K+adMG0tNPUV1dxciRD+Hn52+huxIEwZryi6v5dF0a5y9V4Opsz5j4MPp3DcDuDgZRXyjP4sCl\nHwl00fDagEco6a1j7Z7zHDiZx3tfJ9O7s4Yn4sNwUzuY7T6KN9b3knkPG2G2Mm1Nbe/M5C7j+eDo\nQhaf+po/3/0ybg6utg7L5hQKBf5PTiLzb29QkLgMdWQUdq6iXRrT4pMyr6DBjfZqWdLmzRuJiIhk\n6tSfN2rt338A/fsPuKNyL13K5dKlXF5+uX4Sa3BwKJMmPYdGo+H8+XO8/PIf+Oqrb++oDkEQbO/g\nqTy+3CSj1Rm4p7M/Y+M73XGiZDKZ+PandZgwMTr8QeyUdrTxcObZEVHE92jLkk0yB9LySM8sZsrI\nzkSYoddMdymXymNHcewYjDqy+c9WvF5H9/aMCnmAtWd/4OuMVTwXPVE8rgMc/P3xGfUwRatWUrjy\nazSTn7N1SE1ei0/KbG348FHU1taQkDCT2bPn4uTkxK5dO1iz5pvfnBsYGMRrr91wDsQ1hYUFfPrp\nQt56611UqvofoafnzzN/goNDqKysID8/D39/jfluRhAEqzGaTKzaeZaNh7JwdLBjyqgo7okyz7/n\n5MJUzpdnEuPbhU5ev9wSJzjAnTee6sGmQ1ms2X2e975OZmTfjozs2/GOeuaKN20EkwnvocNbZMIS\n3/5e0i5nkFKUxsFLR+gd2NPWITUJXkPup+LHQ5Tv34d7n36oIyJtHVKTJpIyC1MqFSQkzGLBgnkk\nJLzInDnziIsbSFzcwNsqLyfnIl988Sl//OOfUavV7NqVRFzcIJYtW8yoUY/g7u5OeXkZer0eb28f\nM9+NIAjWUKc38Mn3pzj2UyH+3mpmPtYVjbe68Qtvgt6o57uzG1EqlDwYOvR3z7FTKhneuyNSey8+\n+S6N7/ddICOrlGkPdcHD5dZ76eqKL1N+cD/2Gg2usS1z3KtSoeTJyDH88/A8vjn9HZ28QmnjLGYd\nKuzs8J84iax33iJ/6Zd0+NvbKO1/u1aeUM/ub3/7m61juFN/q67W2TqG38jISGf9+u/Iz8+jffsO\njBz5ELm5OXz22ce4uroRHNzwINe9e3exY8c2srMzqampITq6GzqdjsmTx6PX69mxYxsbN66noqKC\nvn3vpbCwkFWrVpCZmcmWLRuZNOkZOnSw3PR2FxdHmmK7t2Siza3PFm1eo9Xz729PkHqumIj2niQ8\nEYO3m5PZyt91cT9H8o9zb9s+3K1pOEHydneib7SGguIaTp4v5qhcQJcQ71t+fHr5uzXUnj2D72Nj\ncGpk5jk03/e62t4ZLycPjhakkFVxkXsCejSbXkFLtrnK0wtDZSXVJ0+gUKlQSxEWqae5cHFx/PuN\nXlOYTA0tM9gsmJryys8tVVNfcbslEm1ufdZu8xqtnrkrj3M2p5zu4b48P6rzLc2sbEx1XQ1/OzAb\ng8nI33v/CVcHl5u6zmQy8f2+C3y39zwuTipmPNqV8HY3t1iqoaKCc396FTsXV4L/NQeFqvEHNM35\nvW4ymfg87SuSC07wYMhQhnS8vaci1mbpNjfU1HDhzVkYKyvp8Pd/4NCKh9b4+rrdMFMX+x8IgiA0\nAdo6A//+9gRnc8q5J8qfaQ+ZNyED2JK5gyp9Nfd3GHjTCRnUz6R7sF8wk4dFUqsz8P7yZA6n59/U\ntSVJ2zDpdHjd/8BNJWTNnUKhYKz0CB4O7qw/v4Xsihxbh9Qk2Dk74/fEeEx6PQXLltACOoQsQiRl\ngiAINqY3GFm45iQ/ZZdyV4Qfz4yIvKNB9b/nck0JOy7uxcvRkwHt+t1WGf26BvDS491Q2Sn55Ls0\n9qVeavB8o05H2c4klGoXPPrH3VadzZGLvZono0ZjMBlYfGo5OkOdrUNqElx73IVLdFeq009RceiA\nrcNpkkRSJgiCYEMmk4klm2RSz10mOsSHKSOjzJ6QAWy8sA29Uc/IkPtxsLv9gdadg73507juqJ1U\nfLEhvcHErPzgfgwVFXgOGIjS0fG262yOIr3DiWvbl7yqfL4/t9HW4TQJCoUCv/FPonBwoHDF1xgq\nK20dUpMjkjJBEAQb2nAgk72pl+igcWPaQ50b3SbpduRXF3Io7ygatR89NbF3XF4HjRsJT8Q2mJiZ\njEZKt24BOzs8B8XfcZ3N0UOhw/BX+7Ezex9nSs/bOpwmwb6NLz4jH8RQUUHR6t8uDdXaiaRMEATB\nRk6eu8ya3efwdnfkpce74eRgmTFXP5zfitFkZHjIEJQK83zs/zoxO3Ay7xevV6edRHcpF7e7e6Hy\nNP+WTc2Bg509EyIfB+Cr9G/QGZrfjFJL8Bp8Pw5BbSnbvYua06dtHU6TIpIyQRAEGygsreGT79Ow\ns1Pwh4ejb2v9r5uRW5nH0fwU2roGEuPbxaxlX03MnB1VfL4hnRNnL197rWTLJqD+F3BrFuLRgYHt\n+lFQU8S6c5ttHU6ToFCp8H/yKQDyl32JSa+3cURNR8ufCmMj6elpLFw4H71ez9SpMwgPl5g+fQqS\nFMGYMePp0MhaPTk5F/nPfz5EpVLx9tvvXjv+/vv/Iisr89r3L730R0JCQjGZTHzyyUeo1Wry8i4x\nfPiDdO5s3g9gQRDMQ1tn4KPVqVTV6pk0NILgAHeL1bXh/BZMmBhhxl6y63XQuDHz8a68v/w4C9em\n8qdx3QnUl1KdfgrniEic2ncwe53NzciQ+zlZlM6O7L3E+kUT4tHR1iHZnHNYJzzujaNs9y5Ktm7G\ne+hwW4fUJLT4pGxjdiGpxeYdTBjt7crQdr4NnhMZ2ZnY2B7U1tbQrVsMiYlLGDduIvHxN7cPZ1ra\nSfr06cfhwwd/cdzHpw0JCbN+c35S0laqq6uYOnU65eXlPP/8JBITVzWbhQsFobW4OrA/q6CSuJhA\n7u0WaLG6ssovcrzwJB3d29PFx3Lb23Rq68nzozrz0ZpUPvwmhZfs0wDwGvKAxepsThzsHBgf+Tgf\nHvuYZenf8HrPl+5oskVL0eaRx6lMPsbldd/hdtfd2Ps2/Hu1NWjxSZmt6XQ6FiyYS3z8EKKi6nuu\n9uzZydq1q/l1vqTRBJKQ8DoAQ4Y8wMaN639TXlVVFUuXLkKpVOLk5MzDDz+GUqlk//699OrVGwB3\nd3ccHZ04f/4sISFhlr1BQRBuyb7UPA6k5RES6M64+8ItWtf681uA+p4aS/+B1j3clwlDJNZsSKY2\n8zAO/hpcukRbtM7mJMwzmAFt+7Lj4l42nN/Cw2GiZ8jO1RXf0WPJ+/xTChKXEvjiy62+I6HFJ2VD\n2/k22qtlSZs3byQiIpKpU6Vrx/r3H0D//gNuq7z77x9KaGgnlEolCxfOZ+nSRTz11DOUlJSgVv+8\nN55araakpOROwxcEwYyKympI3PYTzo52TH3Q/IvDXu9CeRZplzMI8wxG8rLOH2cDY4Ow370RO5OR\nQ+4RtDeCvRi5fM3I0AdILTrF9qzdxPhGE+zR3tYh2ZzbPb0p37+XqtQTVB49gttdrXsjd/HPxcKG\nDx9FUFBbEhJmUltbC8CuXTt46aUXfvPfnDnvNFpep04SyitrGPXo0ZNjx44A4OXlRXV19bXzqqqq\n8PJqnTOeBKEpMppMfLEhnVqdgXH3hdPGw9mi9W26sB2A4cGDrdb7YNRq0ZxLRufgzE5DIEs3y2Ll\n9us42jkwIfJxTJhYlr6SOrGo7JW1yyaiUKkoWP4VhpoaW4dkUy2+p8zWlEoFCQmzWLBgHgkJLzJn\nzjzi4gYSF3d7+6EtXPhvXnhhJgAXL2YRGNgWgD59+pGSksyQIUMpLy+jrk5HcHCo2e5DEIQ7s/XH\nbDKySont1IY+XSy77192RS6pRemEeHSkk6f1PgfK9+/FWFWF77CRBJV5sTf1Eu38XBncs53VYmjq\nOnmFcm9QH3bn7GdTZhIjQ1r37FQAB40G72EjuPz9Wi6vXY3f2PG2DslmRE+ZhWRkpJOSkkxa2klS\nU1OYMeNlYmK6M3PmNJKStjV6/d69u9i3bzdZWRdITFx67XhZWRmffPIRixd/xqlTJ5ky5QUABg0a\njFrtwqJF/+O//13AG2/8vdU/mxeEpiKnsJJVu87hrrbnqaERFv+3uflKL9kDHeOt9jlgMhop2bYF\nhUqFT/x9zHg0GncXB1YknSHtQrFVYmguHgx9AC9HT7Zk7iC3Mq/xC1oBr6HDsffXUJq0jdoLF2wd\njs0oWkDXssmSO9sLv8/X1w3R7tYl2tz6zNHmBqORf3x5lMz8CmY8Gk1sJ8uOcb1Ulc87h+bSzi2I\n1+6aYbWkrPLEcXLnf4h7v/5oJj0DwJmLZcz5+hiO9na8Oaknfp4398i2NbzXU4tO8fGJxQS7d+CV\nHtMsslzJrWgKbV6dfoqLH8zBsWMw7f/8JgoLbDfWFPj6ut3wH2XLvGNBEIQmYvvRHDLzK+jbRWPx\nhAxg84UkTJgYasVeMoDS7fVPALyuW/YnrK0HE4ZIVNXq+e+ak9TpDVaLp6mLbhNFd7+unC/PZE/O\nwcYvaAXUkVG49eqN9sJ5ynYm2Tocm7DomDJJkhTAOuAg4AiEAk8DauBd4BwQBvxZluXCK9ckAO6A\nJ7BVluV1loxREATBUorLa1mz5xwuTipGD7L8DMiC6kKO5B8nyDWA6DZRFq/vKm1uLtVpJ3EOl3Bs\n98sZhfd2C+RMThl7T1zi6+1nmHi/dINSWp/HOj1IevFpvj+7ka5tovBy8rR1SDbnO/oJqk4cp2jN\nKlx73IXKo3W1iTV6yvbLsvwPWZbfpD4ZexT4J/UJ12zgO+ADAEmS7gYGyLL8V+Bl4ANJktysEKMg\nCILZfb39NFqdgccHhuGmtsw2StfbkrkTEyarjiUDKN1R30vmeYPFsScMDqetrys7k3M4mCbGUF3l\n4ejGw2HDqDVoWfnTd2KmKqDy8KDNo49jrKmhcMVyW4djdRZNymRZNsmy/E8ASZJUQBCQAQwHDlw5\nbR8w7MrXI64el2XZAKQDcZaMURAEwRJOnC3iqFxIWFsP+nUNsHh9JbWlHM47hr/az+x7XDbEUF1N\n+f59qLy9cY2J/d1zHOzt+MPDXXBysOPLTTK5RVVWi6+p6xNwN508QzhRlMbxwpO2DqdJ8Lh3AE4h\nIVQcPkhVWutqE6uMKZMkaQj1jzHXy7J8DPADro4oLAe8JElS/ur41df8rBGjIAiCuWjrDCzb8hN2\nSgUTh0gordBrtSN7LwaTgfvax1l10Hj5vj2YtFo8B8ajsLO74Xn+3momD4tEW2dg4dqTaOvE+DKo\nX6drrPQIKqWKb35aS3Vd616nC0ChVOI34SlQKCj4ainGOp2tQ7Iaq6xTJsvyFmCLJElfSpI0DcgH\n3KhPutyBElmWjZIkFVw5fpU7UNBY+b6+4gmnLYh2tz7R5tZ3O22+dGM6RWW1PDowjNjOlu8lq9RV\nse/SIbycPRjWpT/2VtpX0WQwkLUrCaWDAyEPDcfeveG2GurrRlZRFev3nuf7A5m88Gi3G57bmt7r\nvr5uPFo1lBUn17E5dxtT7hpnsziaDN8u6EcOJ/f79Wh3baP92DG2jsgqLD3QPxIIlmX5hyuHzgPB\nwAagN/At0O/K91z5/5tXrrUHIoDdjdVj62m8vyc9PY2FC+ej1+uZOnUG4eES06dPQZIiGDNmPB06\ndGzw+pyci/znPx+iUql4++13rx1/5pkncXFxAeo3Ni4oyGfFirUkJx9l/vwPcHNzB6B3736MHTvB\nYvfXFKZPtzaiza2jVFvH+YoaCmp01CigrFqL0QSOdkrc7O3wdXagrdqJQBfH3+0BKyqrYfWOM3i5\nOXJfbJBVfmabLiRRq9cytON9lBbXArUWrxOgMuU4tXn5uPe7l1ItcBP3OvKe9hyXC9i4/wJhGjdi\nw387I7U1vtf7tOnNbpfDbDu7h2iPLoR5Blu1/qbY5uohw1Ht2cfFb1dj16U7DhrLLrpsLQ0lv5bu\nKdMCkyVJigEcqE+yXgTqgHclSZKAECABQJblQ5Ik7ZAk6R3qZ1++Ksty+Z0EsDLpDD9mNNrZdkt6\nRvg1OpMqMrIzsbE9qK2toVu3GBITlzBu3ETibzAQ9tfS0k7Sp08/Dh/+5VTp8eOfYtCg+wBITj5K\namrKtddmzkwgJqb7Ld6NIAhlOj3Hiso5frmcwtqb2/rGyU5JpKcLMT5uhLqrryVoq3edQ28w8mhc\nCI4ON36cZy51hjp2Zu/FWeVE38BeFq/veqXbtwLgFX/fTV9jr7Lj+VGdeevLI3zxQzpvBbjj5eZo\nqRCbDZVSxbiIx5h7dCGJGauYdfdL2Ctb96Y7SidnfJ8Yz6X//oeCr5YQ9MofW/yi6Bb9icuyfA54\n7AYvP3+Daz6wXETWp9PpWLBgLvHxQ4iKqh98u2fPTtauXc2v31saTSAJCa8DMGTIA2zcuP435V1N\nyAC++241r7zy2rXvN23aQHr6Kaqrqxg58iH8/PwtcEeC0HIUa+vYkVtMclE5RsBeqSDCw4VQd2cC\n1I50CvSiuqwGpQJqDUbKdHoKanRcqKjhdHk1yZcrSL5cQRsne/prvPDSwcFT+XTQuHFPZ+v8VX8w\n7ygVdZUM6TAQZ5WTVeqEK8tgnEr73WUwGhPk68qYQWEs2/ITn60/xatPxFhl3F1TF+LRgf5Bvdmd\ns58tF5IYHjLE1iHZnGv3Hrh07UbViRQqDh/EvVdvW4dkUS0+DR89KMwq6wPdyObNG4mIiGTq1J/X\n5unffwD9+w+4o3Jzc3NwdXXF3d0DgODgUCZNeg6NRsP58+d4+eU/8NVX395RHYLQUtUZjezMLWF3\nXgkGkwlfJwf6+nvS1ccVp+sGq3s7O2Co1AJgr1TiZq+irYsT3du4YzSZyKqs5UhhGSnFFaw+n09F\nciEAYwaFWSXJMJqMbM/ahUphx4C2/Sxe3/UaWwajMQNjgzh5rpjjZ4rYfCiLofd0MGd4zdao0Ac4\nUZTGlswd3KWJxV9t+QWHmzKFQoHf2AlcyEincPnXuHTpit2VITwtUYtPymxt+PBR1NbWkJAwk9mz\n5+Lk5MSuXTtYs+ab35wbGBjEa6/95abKXbVqBY8++vPAR0/PnxfYCw4OobKygvz8PPz9W8YzeEEw\nl5yqWpafzeOytg4PexX3t/Ohq7fbLSdRSoWCjm7OdHRzZnDbNiQeOs+PJVocfZ05rK0hQOeKh4Nl\nB9wfLzxJYc1l+gbejYej9QZpG6qrGl0GozEKhYKnh0Xw188Ps2bPOaJDfGjr52rmSJsfZ5UTj3Ua\nxWcnl7JCXsOMmOda/CO7xtj7+uIzYhRFq7+laM0q/CdMtHVIFiOSMgtTKhUkJMxiwYJ5JCS8yJw5\n84iLG0hc3MDbLrO6uor8/DyCg0OuHVu2bDGjRj2Cu7s75eVl6PV6vL19zHELgtAimEwmDhaU8UN2\nIQYT9PX35L4gHxzt7nz5CLVSyfmThSiVCqK6+ZNRWsX5ihoe7uBHVx/LJUvbs3ajQEF8e+su51i+\nd2/9MhgjRjW4DEZj3NQOPDU0gvnfnuCzDad4Y+JdqMzw82juYny70NkngrTLGRzJP05Pze0lvi2J\n15AHKD+4n7JdO3Dv0xfnkFBbh2QR4t1vIRkZ6aSkJJOWdpLU1BRmzHiZmJjuzJw5jaSkbY1ev3fv\nLvbt201W1gUSE5f+4rX1679n+PBRvzgWEBDE/PkfsHTpYubPn8sbb/wde3vrTIsXhKbOYDTxXWYh\n67IKcbKzY1J4IMPb+5olIQPYkZxDUVktg7oHMb1HMA939MNkMrH8XB6rz+ejNxrNUs/1zpVlcqE8\niy5tIqz6iMtkNFK6MwmFvT0e/e88GYwJa0O/rgFk5Veyfv+FOw+wBVAoFIwOfwh7pYpVp9eJtcsA\nhUpVv3aZyUTB0i8xGVrmOneKFrCtg6mpTeNtDZri9OmWTrT57akzGkk8cwm5rJoAZwee7BSIp+PN\n/cFyM21eq9Pzp48PUKc3MmdaH1yd68surNGx/Fwel6q1tHNxYnxYAO4O5ns48dnJZSQXnGBm7BTC\nvaw3brYq7SQ5897HvU8/NJOfNUuZ1bV6/vrFIUordLzxVA96RltnKZGmbvOFJL4/t4l7g3ozRnrY\nonU1l8+XvEWfU75vD75jxuI1+H5bh3NbfH3dbvg8+rb+TJQkqWX2GwqC0KJoDUa+/CkXuayaTu5q\npkS2u+mE7GZtO3KRiuo6hvRsdy0hA/B1dmBqZFtivN3Irqrl4/RsimrNszL55ZoSjhekEuQaQCdP\n634cl+7YDoDnwEFmK1PtpOLpYZEYTSY+W5+OTqz2D0B8+3vRqP3Yk3OQC+VZtg6nSfB9bDRKFxeK\n1q6hrrjY1uGY3U0lZZIk9ZQkabwkSRMlSZoI/NfCcQmCINyROqORpadzOVdRQ5SnC092CjDb48qr\nqmvr2HQoCxcnFfff/dtlIeyVSh4P8WdwkA+lOj2fpF8kt+rOF3bddXEfJkzEt7vXqoPA6y5fpirl\nOI4dg3G6bkyrOXTu6M2g7kHkFlWRuDnDrGU3VyqliiekhzFhYnnGagxGkazaubnh+/gYTNpaClck\n2jocs2v0E0qSpL8B/wfMAgYCTwFiBLkgCE2WwWRi+dm8awnZ2NAAVErzD6HddDibaq2eYfd0wNnx\n9x9NKhQKBgZ682AHX6r1Bv4n53C+4vbHCNXqa9mXexh3Bzd6+N94myJLKNuzE0wmPAfc/kSlhjw+\nIAw/T2dW7zzDmYtlFqmjuenkFUovTQ+yK3PZnXPA1uE0Ce59+uHcKZzKo0eoPHHc1uGY1c18SnnL\nsjwC2CrL8tOyLMcDSRaOSxAE4baYTCbWZRaSXlpFqLszY0I12CnN35tUXq1j65Fs3F0cGNS9baPn\n9/LzZHSIhjqjkUVyDqfLqm6r3gOXjlBrqOXeoD6orLjiu0mvp2z3LpRqNW49LbNzgKODHZOHRwLw\n2YZTaHWiZwjg4bDhqFXOrDu3iVKtSFbrNyyfCHZ2FCQuw6jV2joks7mZpOxqX/v187pvbflmQRAE\nK9mfX8rhwjIC1I5MCAvE3gI9ZAAbD2ai1RkY0bvDTW+n1M3HjSfDAgFYduYSmbfYY2Y0GdmRvRd7\npYr+Qffccsx3ovLYUQzl5bj37Y/S0XLbIoW38+TBe0MpKKlhzZ5zFqunOXFzcOWhsGFoDTq+Pb3O\n1uE0CY5BbfEafD/6oiKKN7ScNrmZT6sISZIeBk5KknRUkqQkwMPCcQmCINyyn8qq+CG7CDd7OyZa\nYAzZVaWVWpKO5eDt7khcTNAtXSt5ujA2TIPBaOLL07lcqr75v/JPFJ3icm0xd2u64+pg3VXNS3fW\nPyDxvIM1Fm/WhKGR+Hk5s/VINudy72j74xajd0BPQjw6kFxwgrTLYswdgM/IB1H5+FC8eSPanBxb\nh2MWN/OJ9TDwvSzLHwLvA6uA0RaNqgVIT09jxoznmTbtGVJSjlNTU8MzzzzJnDnvkJl5ocFrMzJO\n8dZbb7J8+TJmz36HdevWXnstL+8S7777NkuXLua99/5JbW19R6bJZOLjj//DkiVfMGfOO6SlnbTk\n7QlCk1OirWPF2TyUCgUTwgItupr+5sNZ1OmNjOjTEXvVrSd+kZ6uPBbij9Zg5As556ZnZSZl7QFg\nYLv+t1znndDm5FDzk4w6sjMOGsvvEuJob8fTQyMwmWDRxnT0BvOv89bcKBVKnpAeQalQskJei85Q\nZ+uQbE7p6IjfuCfBYKBg2Ze0gCW+Gl/RX5Zlw3Vffw0gSdIEYJkF4zKb1WfWk1yQatYyY/2ieSRs\nRIPnREZ2Jja2B7W1NXTrFkNi4hLGjZtI/E3sE1dUVMTo0WOJiIhCr9czcuQQ4uIG4u7uwXvv/Yvn\nnptGREQkq1atYNmyxTz77FSSkrZSXV3F1KnTKS8v5/nnJ5GYuKrVb88htA56o4mvz16ixmDkoQ5+\ntHO13MbcFdU6diTn4OXmSN8uAbddToyPO7UGI99nFvKFnMPUyHYNrmOWWZ7N2bLzRHlLBLj433a9\nt+NqL5mHGZfBaIzU3osBMYHsPJ7LDwczGdU32Gp1N1VBrgEMbNeP7Vm72XxhOyNDH7B1SDbn2i0G\n19geVCYfpXz/Xjz6WvcPFnNrNCmTJKkH8BIQwM89a51oJkmZrel0OhYsmEt8/BCioroAsGfPTtau\nXc2v8yWNJpCEhNfp1+/eXxxXqVSoVCr0ej3JyUeIiKgfCBsd3Y3Zs9/h2Wensn//Xnr16g2Au7s7\njo5OnD9/lpAQ223GLgjWsj33MhertMT6uNHT192idW09ko2uzshjce1vq5fsevf4eVKtN7It5zJL\nT+fyXERbHG7wyDUpu76XbJCVe8mMtTVUHNiHyssL124xVq37sQFhHD9TxLp9F+gh+RHUpuVuRH2z\nhnUczLH8E2zN2kVPTXc0Ln62DsnmfMeOo+rUSQq/WYFrt1jsXJvvHqo3M3XnS+BD4AxgAhTAi5YM\nyiojV44AACAASURBVJweCRvRaK+WJW3evJGIiEimTpWuHevffwD9+w+4qetXr17Jk08+jVrtwuXL\nRTg6/twD4OLiSklJ/eJ5JSUlqNXqa6+p1WpKSkrMcxP/z957h7dxnenb96ADbABJsBeJojRU711W\nl6xiuca9xU7bZJN1vHGSTd14d/P7kux6U7zezTrZxE7c4iq5yVZvVhclqnJISRTFTrCBBAiizvcH\nSVu2JRIsGEDS3Nc1l8TBnHlfDoHBmXPe8zwqKjFMZYeHXXWt2Iw6bs5Pi+jocGeXn61Hqkm06Fk4\nOWtYzrkk00aL10dxUwdvXGjgnoKMz/0ObV4nxY3HyYxLpyh59LDEDZf2/fsIdXVhu3H1kHwuB4PF\npOPBG0WefuMEz208ww/un44mAitpryZMOiN3jrmFZ088zyvSmzw29WvX/YyIPjmF1Ftuw/HqKzhe\nf5WMLz4a7ZQGTTidsvOSJP3x0h2iKFZFKJ9rjrVrb6ary8MTTzzGL3/5n5hMJnbu3M5bb732uWOz\nsrL53vd+9PHPmzd/QFdXFw891P0GS0qy4r1k6a/b7cJmSwbAZrPR2dl5yWtubDZbpH4tFZWYwBsM\n8VpFAwBfGJkRscL+XrYcqcbjDXLTkhEY9MPTQREEgVvz02ju8nOixUWaqYVl2Z+Wgvyo5gAhOcTi\nnPmKfgHLskzbju2g1Q6Lz+VgmDrazqyxaRw808jW4mpWzMiNSh6xxGT7eCamjuNE02kO1hczO3N6\ntFOKOtZlK2jf9xHte3aRNL9bx+xqJJxO2TOiKH4fKAZ6ewSPAXdELKtrCI1G4IknfsDTT/+aJ574\nB371q1+zaNESFvWzgumdd9bj8Xh46KFHOX/+LAaDkZycXKZNm05p6WmKisZx4kQJ8+YtAGDevAWU\nlBxl5crVtLc78ft9jBypumGpXNtsrGqixetnYYaNkQnmiMbyeANsPlRFnEnH4gGuuOwPnUbD/YWZ\n/M/pKrbWtpBmNjAxuVuFKBgK8lHtAUxaEzMzpg1r3P7oOnsWX3UV8TNmorNaFY19KfctH8Opihbe\n3HmeqaNTSU2K7N/6auDO0bcgtZTz5tl3mZA6lji9pf9G1zCCVkvaAw9T9Yuf0/DX58n/6ZMIOuV0\n/IaLcB4r7wW+DvwIeLJnmxXJpK4FSkvPUFJylFOnTnLiRAnf+tbjTJkyjcce+zrbtm3ps+2ePTt5\n5pnfsmfPTr71ra/x5JM/oanJAcATT/yA9evf4Pnn/4/z589x//0PA7B06Qosljj+/Oc/8D//8zQ/\n/vGT1/2Qtsq1jdTm5qDDSYbZwPLs5IjH23GsBndXgBUzc6+o3j8U4vU6HhydhUEj8HpFA/U9Uhkl\nTadw+jqYkzkdo9Yw7HH7om1Hj8/lYuUK/C9HYpyBe5ePxusP8pcPpGtild1QSTHbWDNyBS6/mw3n\nNkY7nZjAPKqQpIWL8NXW0Lp5U7TTGRRCf29uURQPAbMkSZIv2Xe/JEkvRjq5MJGvBmf7aw27PQH1\nuiuLes0/wRsM8esTF3AHgnxjXB6ZlsiImfZec38gyHf/Zx8+f5D/+MY8LKbIyW2cbnXxwtk6Uox6\n/n58Lr8v+QPlbef5yewnFC3qDrS3c/67j2NISyf/X36u6EPe5d7rsizz61dLOFnRwtduHs/sccqu\nQI1FgqEgvzj0W2rd9Xxn+t9TkJQ/6HNdK/eXoNvNhR//EyGvlxH/8nP0qfZop/Q57PaEK36Ywhkp\n28On1fyhu+BfRUVFJSpsrWmm3R9kUWZyxDpkl7L3ZD3tbh9LpmVHtEMGMM4Wzw0ZNpq9fl4oO0N5\n23lEW6Hiq+za9+yCYJCkxUtiYtRdEAQeuFFEr9Pw8tZy3F2qTpdWo+Vu8TYAXpFUw3IAbVwc9rvu\nQfb5aHw5VsaOwiecTtl0oEIUxY9EUdwmiuJ24JcRzktFRUXlstR3etnb0EayUc+izMgvZgnJMh8c\nrEKrEVg+XZki85XZKYyIN3Gq6TAAC7PnKhK3FzkUom3ndgSDgcS58xWN3RdpVjM3zx9Bu9vHGzvO\nRTudmKDQOpJ5mTOpcdWxo/qjaKcTEyTMmYdZLMJdcgzX0eJopzMgwumUWYDbgR/ySU3ZoUgmpaKi\nonI5ZFnm7cpGQsC6PHvEfC0v5Vh5Ew0tncydkIEtIfKjcgBajcBt+cn4/eUIggWrWVnhVPeJ4wSa\nm0mcMw+tJbYKyG+clUd2ahw7jtVytkY15wa4pXANcXoL71ZsorWrLdrpRB1BEEjvNSx/+QVCXV39\nN4oRwrmj3SVJ0s5Lth3A1yKcl4qKisrnONrcwQVXF+OscYhWZYREPzhwEYBVs/IUiddLaetxZPwY\n9WN59bwDT0C5qam27T0K/osj73M5UHRaDQ+t6tZ9fP6DUtWCCYjXx3Fb4U34gj5eK3872unEBIbM\nLJJXryHQ0kLzJVaFsU44NkvnRVE0AnY+6cQ9CTzSX1tRFAuAfwOOALlAsyRJ/yqK4j8Dl4re/FyS\npK09bZ4AEgErsFmSpGvH/l1FRWXQeAJBNlY1odcIrM1Tpnj3dEUzZ2ucTClMJUtBNXlZltlVvQ+N\noGFJ7hz2NvrYUNnI3ZcRlh1ufI5GOk+dwDSqEFPe4AvHI8noHCsLJ2exq6SWzYeqWD0nNvNUkjkZ\n09lfd4gSx0lONJ1mYuq4aKcUdZLXrKPjwH5aN28icc58jLmxr3HX70iZKIo/AxzAbmBnz3ZbmOdP\nBl6WJOkpSZK+DdwjiuJUQJYkaeklW2+HbBawWJKknwKPA0+JovjZRQYqKirXIVtqWnAHgizNSsZm\njGyxfS9vbj8LwKrZyo6SnXNeoNZdzxT7BFbn5ZEXZ+J4i4ujzZFfHefcuQNkOeoyGP3xhcWjSLDo\n2bCnAkebJ9rpRB1BED42LH+1bAPeYHgm99cyGoOBtPsfhFCIhheeRw7F/qhqOGI7twJZkiS5eneI\nohiWzZIkSYc/s0sA3IAgiuIP6Raj1QJPS5LkAW4C9vW0DYqieIbuEbV3w4kXS5w5c4r//u/fEQgE\n+Lu/+xZjxoh885tfRRSLuPvu+8nPH3HFtqWlp3n11ZcZM0aksrKScePGs27drQD867/+lLy8fEKh\nEDU11Xz3uz/AaDRx9OgRfve7p0hI6Pb9mzt3Affe+4ASv6qKSsRp7vJxwNFd3D8/XRmnirpmNwdO\n1TMqK5HROUmKxOxlV/VeoLvAXysI3DUqg6dPXuTtykby402kmCKjVxby+3Du2YU2PoH4GTMiEmO4\niDfruWfZaP7wzmle2FTGt++cFBOrRKNJZlw6y/MWsalyOxsrtnBr4ZpopxR14iZMIn7GLFyHD+Lc\nswvrwsXRTqlPwumUHQM+WyVXNtBAoijeCnwoSVKZKIqvAhckSfKIovh14Gngy0AacPqSZu09+waN\n47VX6Dg8vOsSEmbMxH7nPX0eM3bseKZOnU5Xl4fJk6fw0kt/4b77HmLZshX9nr+pqYm77rqXoqJx\nBAIB1q1byaJFS4iPTyA7O4eHH/4SAP/xH79g/fo3uPvu+wF47LEnmDJFWcVvFRUl2FTdTEiGlTkp\n6BTyPvzwYE8t2ew8Rb/snd4OjjlOkhmXTqG1AIBko56b8+28VtHAq+cb+GpRDtoIXAfX4UOEXC5s\nq9ag0SsrVDsY5oxL56MTdZw438xhycHMItWce/WIZRxpOMbWql3MyphGVnxGtFOKOmn33EvnyeM0\nvf4a8VOmoUtMjHZKVyQsmyXgkCiKp+ke2RLoVvT/INwgoigupnta8tsAkiSdueTlbcATPf9v5NOa\naIk9+/rEbr/yDKfLbKBzmP3wzGZDnzF7iYsz4vd7+OMf/4u1a9cyadIkALZs2cIrr7zyuRt9dnY2\nP/vZz7jttrUf7/P7/RgMetLTrcTHx/P973/n49eMRi1pacnY7QlYrRY2bNhAVdU5XC4Xd911FxkZ\nkf0whnMNVIaXq/Gah4J+ggEvshxAq7Og1Q3sy76izc2JVhcjkiwsHZOpSAfJ6fKy/1QDGSkWVswr\niEgH6ErsPr2HoBxkjbiEtLRPvjxW2hOo9Po4WNvKwXY3N4/OHPbYdXt2giBQcPtNmKL8Xgv3vf7Y\nvdP45r9v55Wt5SyakUecWZmp7VjmKzPv4xe7n+GN8xv42dJ/RCOE9x14Nd5fwsKegPzg/VT84f/o\n2PA6Y/7xsWhndEXC6ZT9AXgbOM8norE54QYQRXEtsECSpG+LopgJ5AO3S5L0vZ5DxgC9gjPvAT/p\naacHioBd/cXoS4U4/qbbib/p9nDTDZtwlI/dbi/r12+gqGgsDz/8tY/bTJ48m8mTZ4d13ldffYn7\n7/8iHo+Mx/PJa3V1tVRUVPL1rz+Ow9GBzZbJPfd8kYyMDCoqzvPQQw/z4ouvD+E37JtrRf35auJq\nuebBQCceZxme9nL8nfUEfK2fel3QGjGYMzHG5WKxjkVvTr9iR0uWZV6WagBYnmGjqcl12eOGm3f3\nXsAXCLFuQQEtzcrEhG6F9g/KdmLUGhgbP+5zf+9V6TYkRwfvna0jX68jK840bLG7LlbSIZURN3ES\nHRoLHVF8rw3kva4Hbpqbz1u7K/jfN0t4cKUY2eSuAnL1+UyxT+SY4wTvHN/BvKyZ/ba5Wu4vg0U3\ncz7Gzdtw7NyFYeoM4iZMiloufXV+w+mU1fYU3n+MKIphKdSJojgNeIXukbbtdGuePQP4RVH8Nd0L\nCCYA3wCQJOmAKIrbRVH8Od2rL78jSVJ7OLFilbVrb6ary8MTTzzGL3/5n5hMJnbu3M5bb732uWOz\nsrL53vd+9PHPmzd/QFdXFw899OinjnM4Gnn22f/mX/7lF+h6DFetl5gFjxxZgMvVQUNDPenp6tC1\nijL4uxy0N+zD3XoC5G75Bo3OgjE+H43OgiBoCQU8BHxteF0X8Lou0N6wG73JToJ9NnHJkxA0n74l\nSU43FR0eipLiKEhURi8rEAyxrbgak0HL8ll5uDuU0zg62XyGNq+TG7LnYtZ9vsNl0mm5fWQafy6r\n5fWKBr4xLm/YpnOdO3pkMJbEdoH/5Vg1O5/9pxvYUVzDvAkZjMpStgYwFvnC6HWcaZFYf/Y9JqWO\nI96g3OrhWETQaMh4+BEq/+1JGv76PCOe/Dka0/A91AwX4XTKtoqi+DCwl+7pS+g2J+9XEkOSpGI+\nb9HUX5unBnJ8rKPRCDzxxA94+ulf88QT/8CvfvVrFi1awqJFfev/vPPOejweDw899Cjnz59FrzeQ\nm5tHTU01f/rTs3z3uz/EYrGwc+c2Fi1aygsvPMfNN99OYmIi7e1OAoEAyckpCv2WKtczoYCHtvqd\nuByHABmdMZn4lKmYk4rQmy7/HgwFu+jqqKCz9RSdzlJaqt7FWb8Ta9YyLLaJCIJAUJb5oKoZAbgx\nV7n38uHSRtpcPlbMyMVi0ivaKdtVvQ/oW8F/dFIcM+2JHHK0s722hRU5Q782wU437fv3oUtNjeoI\nwmDR6zQ8dKPIL186yl8/kPjJF2egVUBYOJaxmazcVHAjb5S/w1vn3uPBsXdFO6WoY8zNI/nG1bS8\n/y5N698k7Z77op3S5winU/avQMNn9tkIo1N2PVNaeoaSkqMEAgFOnCjhW996nD/+8fc89tjXuffe\nh1i6dPkV2+7Zs5NnnvktY8aI7N69g/b2dh5//Lukp2fwzW9+Fbs9je9//3EAcnPzWLRoKZmZ2fzu\nd0+Rnz+SysoKfvzjJ9Hr1doKlcjS1VFBc+V6gv4OdMZkrFnLMCcV9Vv3pdGasFjHYrGOJeDvoKNx\nPx2OgzRXrsfVdITkvJs57tLT2OVjRmoi6WZllPRlWWbz4SoEYNmMsKs0hoWGTgelreUUWkf2W5y9\nJtdOubOTnXUtjLXFkTPEacz2vXuRfT6si5YgXKWdGTHPxvyJGXx0op6tR2pYOTP2NakizaLseRyo\nO8L+usPMyZjBaFtBtFOKOsnrbqbjyGHatm4mYdYczAWxdU0EWe7bW1wUxf+RJOnrn9n3bUmSfhPR\nzMJHvpbnwWOVa73+IBaJpWsuyzLtDbtx1u0ABJIyF5GYNh9Box30OQO+NlqrN+FxliKj51Vupz2o\n4TsTR2BVSJfsbI2T//fXI0wdncq37pik6DV/vfxttlft4dHx9zE9fUq/x59t7+RPUg1pZgPfHJeL\nbpCdKVmWqfzJD/E3ORj57/+JLiH6K9MGe93bO3386Nn9BEIyP//ybJITY296SmkqnBd56sgzpMel\n8YOZj6HTXH4sJpbuL5GmUyql+t9/gSE7h/yf/AxBF8741PBhtydc8am130/xZztkPaiupyoq1yly\nKEBz5XqcdTvQGpJIH/MISRkLh9QhA9AZrNgL7iJlxB2UU0BrQMMEUwuJCg74bj5UBcCKGcqOsniD\nPvbXHSbRkMBk+4Sw2hQmWphtT6LR42NrbcugY3ukUnz1dcRPnxkTHbKhkGgxcOeSQry+IC9vKY92\nOjHByKQ8FmTPod7dwLaLu6OdTkxgEYtIWrgYX001LR9ujHY6n6Lf7qEoigLwBbpXSfbeddcAcyKY\nl4qKSgwihwI4Kl6lq/0sBks29oK70erjhzWGyTqOYxoTGgJM9O2msfwk9oJ70OojW6jc7OziiOQg\nNy0eMc/af4Nh5HDDUTyBLhaPmH/FkYzLsSo3lTKnm111rYyzxpMbP/CRobbtWwGwXoUF/pdjwaRM\n9pyo40iZg2Nnm5hSmBrtlKLOzQWrONZ4gvcvbGFa+mRSzcnRTinqpH7hTlwlx2h5ZwMJ02dgyBh+\niZnBEM5492/pVtVfS7dGWT6gelqoqFxnyKEAjvN/o6v9LKaEUaSNfmjYO2QAx5o7aPGFmGlPIi25\nEF9nDQ1lf8LvHfxoUDhsK64mJMusmJGrqFjspT6X87MuL5VzJYxaDXeMTEcGXq+oxz9AG5lAWyuu\no8UYc3MxjSocUNtYRSMIPHSjiFYj8OKmMrx+5YzcYxWL3swdo9fhD/l5tWw9/ZUtXQ9oLXGk3f8g\nciBAw1+eixkLpnA6ZX5Jkr4JHJAk6UlJkr4EHIxwXioqKjGELMs0Vb5FV8c5TImF2AvuRqMZ/nnF\noCyzvbYFrSCwOCuFlPxbSMy4gYCvlcby5/F3NQ17TACvL8iukloSLXpmj1NWFf5C+0WqXbVMTB2H\nzTTwEbqCRAtz0pJwdPnZUdfaf4NLcO7eBaEQSYuXXlMWRTn2eFbOyqW5vYt3ProQ7XRighnpUxBt\nhZxqLqXEcTLa6cQECdOmEz91Op4yqfuzEAOE0ynrPcYqimLvEqjwih5UVFSuCdpqNuFpO4MxPg/7\nyLs+pyc2XBxr7qDF62emPZEkgx5BELBmLsGavZKgv4OG8uci0jHbe6oed1eAxVOz0euGVhs3UHbV\n9C+D0R835qSSZNCxq66FBo+3/waAHAjQtnM7GpOJxNmDjx2r3DxvJCmJJj48eJEah3ICwLGKIAjc\nLd6GTtDyWvnbdAWUk3qJZdLufwCN2UzT638j0Dawh5pIEE6nLFkUxTuBrcAFURTPAs7IpqWiohIr\nuJqO0OE4gN5kxz7y7oh1yC4dJVuU+WnT8cS0Odhy1hAKdNJ49gUCvuG7BYVkmS2Hq9BqBJZMzR62\n84ZDh89FcUMJ6RY7om3w04dGrYZb8u0EZXizopFQGNNTrpJjBNvaSJw3PyZFNIeK0aDl/pVjCIZk\n/vKhFNY1udZJt9hZmb+ENq+T9yo2RzudmEBntZH6hbsJeTw0vPjXqE/thrP68mFJkl6TJOkF4Hbg\nMeDBiGemoqISdbzuKlqqN6LRmrEX3ItGZ45YrBMt3aNkM1K7R8k+S4J9BkmZSwn622k8+yLBQOew\nxD19oYW65k5mjU0nKV4ZPbRe9tUdIiAHuSF77pCnD4us8Uy0xVPl7uJAY/+d1o8V/BddGwX+l2NK\nYSrTxtgpr3by0Ym6aKcTE6zMX4LdnML2qj1UddREO52YIOmGhZjHiLiPFuM6fCiqufTbKRNF8Z96\n/y9J0j5Jkt6TJEmtnFRRucYJ+t00VbwOskzqyDvQGSO3IlGWZXbVtaIBbvjMKNmlJKbPJyFtDgFv\nE45zLxEKhjdV1xfbi3u8NRUWiw3JIfbU7Meg0TM7Y/qwnPOmfDtmrYYPq5to8/qveJyvrpbOM6cx\ni0UYs5UdHVSa+5aPxqjX8tr2c3R0+qKdTtTRa/XcLd6GjMzL0puE5NgocI8mgkZD+sOPIOj1NL74\nVwId0XN3DGf68geiKJ7/zFYqiuIroigqexdTUVFRBFmWab74NkF/B9aspZgSIqt6XebspN7jY2Jy\nAsl9CMUKgoA1awVxyZPxddbSVPEa8hC+VJqdXRw728SIjARGZiqr0XWquZTmrlZmZkzFoh+eEcgE\nvY7Vuan4QjJvX3RccSqmbed24NqRweiL5EQTt94wEpfHz2s7zkU7nZhgbPIYZqRPobK9io9qD0Q7\nnZjAkJ5B6m1fIOjqoPHFF6KWRzidsj8BPwdW9Wz/RrfJ+F+AX0UuNRUVlWjhajpEV3s5poSRJKTN\ni3i8nfXdBbYL+xgl60UQBJLz1mFKHE1Xx3naagZfG7OzpAZZhiXTlB8t6i3wvyF7eK/v9NREChLM\nlLa5Odn6+QL3kNdL+0d70CZZiZ8ybVhjxyrLZ+SQmxbPnuN1lFW1RTudmOD2wnWYdSY2nNuI0xu9\nkaFYwrp8BaZRhbgOH6TjSHSmMcPplOklSfo/SZLKerY/AdmSJL0PqJP0KirXGP6uJtpqtqDRWUjJ\nvzXiUgkXXR4udHgYk2Qh0xJeTZcgaEgdcTs6UyodjgO4mksGHDcQDLHrWC1xJh2zxqYPuP1QcHQ2\nc6a5jJGJ+eQmZA3ruQVB4NYRaegEgXcqHXgCn642aT+wj5DHQ9LCRYrby0QLrUbDQ6tEBOAvH0oE\nguqUXZIxgVtGrcET6OLVsg3RTicmEDQaMh75EoJOR+MLfyXYobztVDidssmiKH4s3COKYjog9vx4\n7S3ZUVG5jpHlEM0X30aWAyTnrEGrT4h4zJ092lqLMgemMq7RGrtXg2pNtFS9i9ddPaD2RyQH7Z1+\n5k/MxKhXVgZjd+0+ZGQW5kRGiiLVZGBZdjKuQJAPqj+REJFlGef2baDRkLRwcURixyqjspJYNDWb\n2iY3Hx68GO10YoL5WbMYlTSSY44THKoZ+IPNtYghI5OUW28n2NFO4ysvKh4/XEX/UlEUj4uieBw4\nA/xWFMVlkU1NRUVFaToch/C5q7FYx2GxjYt4vAaPlzNtbnLjTIwYhEWQ3pRC6ojbQQ7RdP5VAv7w\nn2y3F3d34pSWwfAF/eyvPUy8Po6paZMiFmdBuo0Ms4FDjnYqO7pNWLrOncVbdZH4qdPQ2/qfKr7W\nuGNRAYkWPe98dAFHm2pMoxE03Fd0BzpByx+PvIwnoF4TANvKVZgKCug4sB/X0WJFY4cjifE63SNj\nP+rZREmS3pAkaaskSX8f6QRVVFSUIeBrx1m3HY3WjC1ntSIxd388SmYb9DSpObEQa9ZyggEXzRVv\nhFX4X93ooqzayfiRyaQnWwYVd7AUN5bgDnQyL2sW+ghpvgFoNQK35HdPcmyobCQYkmnb3i2DYV1y\nfT5Tx5n03L1sNL5AiBc3l0VdkyoWyIhL48YRS2n1ONlw7oNopxMTCBoN6V/snsZseOF5gi7lxIfD\nGSlDkiSHJEnv9GyOSCeloqKiPG21W5BDPqxZyyJu/g3Q7gtQ0tJBqklPkXVo8RLS5mC2jsXrvoiz\nfme/x28/2i2DsVThUTLoLvAXEFiQNSfisfITzMy0J1Lv8bHvXBWuI4cwZGZhFosiHjtWmTMunbH5\nNo6fa6a4TP06g27tspzETHbX7ONc24VopxMTGLOySbn5VoJOJ46/vaxY3LA6ZSoqKtc2Xa5KOltP\nYrBkEZcyVZGYBxxOgjLMT7eiGeJiAkEQSMldh9Zgpb1+N10d5694rMcbYO+pepITjUwqTBlS3IFS\n2V5FZXsVE1KLSDErM314Y04qFp2W2h3bkQMBkpZcWz6XA0UQBB5YOQadVuClLeV4vIFopxR1dBod\nfzfzAQQEXip9HX9IvSYAthtXYxwxkvZ9H+E6fkyRmGqnTEXlOkeWQ7RWdU9b2HJWKfKF7Q+FONDo\nxKzVMDVlePTBNDoTqSPuADQ0XVhP0H/5KYd9p+rx+oIsmpKNVqPsLTBSMhh9YdFpWZOdTOGpIwT1\nBhLnKBc7VslMiWPNnHxaO7xs2FMR7XRigjGpBdyQPZf6zkY2VW6PdjoxgaDVkvHIl0CrpeEvzxHs\ndEc8ZjiK/v/Z432poqJyDeJqOoy/q4G45CkY45TRgy5p7qAzEGSWPQmDdvg6Rsa4bKxZSwkFXDRX\nrv9czZAsy2wvrkGrEVg4KXPY4oaD29/JkYZjpJpTGJs8WtHYo2sriHe1c7ZwPGVeVQ4CYO3cfNJs\nZjYfrqKyXnnpg1jk5lGrsBqT2HRhG/XuhminExMYs3NIWXcLwbY2HC+/FPF44dwN1wJbIp2IioqK\n8gT9btrqdiBojVizlCn+lmWZvQ1taASYk5407OdPSJuLKbGQro7zdDj2f+q1sqo2aprcTBftUfG5\n9IcC3JA9B42g7Ahdr89l2YTpvHPRgU/V6UKv0/LgShFZ7tYuC4XUon+zzsTdY24lIAd5sfQN1YKp\nh+RVaz6exuwoPhLRWOHcGfYAn1onK4ri45FJR0VFRUmc9TuRg11YMxYrUtwPcK7DQ73HxwRb/GWN\nx4eKIAik5N2CRhdHW+02/J5Pirk/LvCfprzP5e6a/eg1OuZkzlA0tq+hgc6TJzCPHsPE8UW0+QJs\nq21RNIdYZfzIZGaPS6eirp2dJbXRTicmmGQfz1T7RM47L7CnRrVgAhB0OjIe/Uq3N+ZfniPgjJwr\nRDidsiTgtCiKL4qi+CdRFP8EfDliGamoqChCwNuKq6kYnTGZeLtyHYW99d03tPnpkSt01+rjMrK0\negAAIABJREFUSM69CeQgTZXrkUNBnC4vRyQH2fY4RucM/whdX5S2lNPkaWZ62hTiFer89uLs8blM\nWryUxZnJ2Iw69jS0Ut85dDP3a4F7lhZiNup4fcc5nG7VsBzgzjG39FgwvU9rl2pLBWDMyiL1jjsJ\nujpo+MtzEZNTCUckpwh48jP7csM5uSiKBXR7ZR7padMsSdK/iqJoA34BnAcKgR/2Sm2IovgEkAhY\ngc2SJL0TTiwVFZWB0Va3AwiRlLkEQVBG0b6py0ep001enIncQYjFDgSLVSQueQrulmM4G3ax+/wI\ngiGZpVOzFV99uKtmL0DEFPyvRMjnw7lnN9qEROKnTUej1XBzXhrPl9eyobKRrxTlDHnl69VOUryR\nOxYV8MKmMv62tZyv3jw+2ilFnSRjIrcVruWl0jd4RXqTv5v0yHW9YrcX69LluEuO4S45RvueXSTd\nsGjYY4QzUvYVSZKev3QDwhWNTQZeliTpKUmSvg3cI4riVOD/0d3h+iWwAXgKQBTFWcBiSZJ+CjwO\nPCWKYuR9XlRUrjN8ngY6W0+gN2dgsUZeub+XvQ3dT93zMqyKxLPl3IjWkERr7R52HK3CaNAyZ3yG\nIrF7afa0cLKplPyEXPITw3qeHTY6Dh4g1OkmaeEiNPruqWLRGscEWzyVri6Km1QjaoDFU7IZmZnA\n/tMNnLqgTu0CzMucRZFtNCebSzlYr6yqfawiaDSkP/IlNGYzja+8jM/ROOwxwlH033eZ3feGc3JJ\nkg5/ZqRLANx0Lx7oPe9HwJqe/9/Uu1+SpCDdlk7D3xVVUbnOcdbtAMCauUSxJ2BPIMiRpnaSDDrG\n2+IVianRGknJu4Uyh41WV4B549MwG5U14d5TewAZmRsUHiUDaNuxDQThcz6Xa/PsGDQCG6uacPuD\nl298HaHRCDx0YxGCAC98KOEPqNdEEATuK7oDg9bA6+Vv4/SqHXgAfXIKafc9iOztouFPf0QODe9i\niHAkMeaLonhaFEW/KIpBURRDwE8HGkgUxVuBDyVJKgPSgN41yO2ATRRFzWf2976WhoqKyrDhdVfj\ncUoY43IxJRYqFvewox1/SGZumhWtglMhpoQRHG3oVrCfkV2jWFwAfyjA3tqDxOksTE+brGjsrorz\neC9UEDd5CvqUT4vkJhl0rMhOwRMMfcqw/HomPyOB5dNzaWj18P5+1bAcIMWczG2j1tAZ8PCK9JZq\nS9VDwpy5xE+fgae8jNZNw2tNFc4j49eBhcCPJEl6XBTFPOAbAwkiiuJiuqclv92zqwFIoLvTlQi0\nSpIUEkWxsWd/L4lAv+ODdrs6wxkN1OseeYLBEI11HTTUOpGO1xMMylgseqwpFnLybZgthgGfs6xy\nFwD5424iwTY8wq39EQzJHDhRiUGrYdXYLOL0yo1W1ThclNVpGJHiJi5QgsU4k7jE8FdfDuV9vvvC\nQVx+N+vE5WRnJA/6PIOh/KXuv/OI29ZhvczvsC4lnuNON0ea2llamM6Y5Nj6PEfj/vLl2yZSXO7g\nvX2VrFlQQJZdmRHdWOFy1/y21BWcbDvN8cZTlHkkFuTPjEJmsYft23/P0W89TvP6N8m5YTZxI0YM\ny3nDuTNelCSpqWckC0mSLoqiGLaDryiKa4EFkiR9WxTFTCAfeA+YC7wOLOj5mZ5/f9LTTk/3IoNd\n/cVwOFThP6Wx2xPU6x5BWhxuTh2t4eyZRro8l7c8EQRIz06kaGImo8enodP1X6zf1VFBR8vZbh2v\ngJ0uhf6GJ1o6aOnyMTstic42D52KRO3mza3lACydPgLko5wreYUM8cthLW4Y6vv8vdJufbDptumK\nfl6CLheOXXvQp6fjyxxxxdg3Zafy+/Yqnj9WyTfH56HTxEYxdzTvL3cvKeS/15/kt68U8527p1w3\nBe59XfO7Rt3Gz5v+k/878gqZumwSDbHVgY8OAvaHvkjt737D6X//DXk/+unHdZv90dcDRzidMlEU\nxRxA16NP1gyE5dMhiuI04BXgkCiK2wEL8AzwQ+CXoiiKQAHwBIAkSQdEUdwuiuLP6V59+R1JktSJ\nbJXrBneHlwM7zyOd7FbTNlv0jJ2ciT0jnuxcGy6XF0+nj7bmTqorW2moaae+up39O88zc/4Ixk3N\nRNOHdZCzfjcASRnKlmrub3QCMDdNmQL/Xrz+IHuO15EYZ2DO5PE4ay7gbj5Ke8NekjJuiGjsqo5a\nzjsrGZcsYrco67Hp/Gg3ciCAddFShD7eD7nxJmbZkzjgcPJRQyuLMpUdzYtFpot2Jo1K4fi5Zg6c\naWDOOGUXhsQiqeYUbh61mtfL3+Zv0nq+MvHBaKcUE8RPmkLSwkU4d+2k+e312O8YuvlROJ2yp4Es\nuldM/h+QAvxTOCeXJKmYT09HXsrXrtDmqXDOraJyrXGu1MHODyS8XQGS7XHMXDCCEaNTPu5kffZJ\nduYNI3G1d3GyuJaTxTXs3lzOqWO1LLupiNT0z3/svO5qvK4LmBIKMMZlK/Z7NXi8VHR4GJVoJs08\n8OnWoXDwdAOd3gA3TR+BTqvBlrWCLmc5zvpdWKxj0ZtSIxZ7d5RkMORQCOeObQgGA4nzF/R7/Mqc\nFE62uthW28LE5ASSjcMv6Hs1IQgC968Yw5nKA7yy9SyTClKwmK7vawKwKGceRxuPc8xxguLG40xL\nmxTtlGIC+1330nnmNK0fvE/chIlYxKIhnS+c1Zc7JEk6KElSjSRJqyRJmgnUDymqiorKx8iyzN5t\nZ9m0/hTBQIgbVozmzkdmUCDa+xz1AohPNDFncQH3fW02RZMyaHG4eeP5Yo4dqPpcUW57/R4AEtP7\n/6IeTnpHyeYoPEoGsO1oDYIAi6dkAd2m5bbcNSAHab74dsQKlzv9Hg7VHyXZZGN8ytBu0gPFfeI4\nfoeDhNlz0Mb1L1Rr1mlZm5eKPyTzTmWjWswN2K1mbp4/gna3jzd2no92OjGBRtDwwNg70Wt0/E16\niw6fK9opxQQak4mML38NBIH6Pz5L0DW063LFkTJRFB/qo90DwMohRVZRUSEYCLH13TOcK3VgTbGw\n6vbx2FIGrvhuiTOwZE0Ro4rsbHuvlH3bz9HU2MHi1SI6nRafpwFPexnGuFyM8fkR+E0ujzcY4mhT\nO0l6HUVWZZXsK+raqazvYOroVJITPxGqtViLsFjH0dl2GlfTIRLss4Y99oH6I/hCfm7IUt7nsm3r\nZgBsS1eE3WZycgJHmtqRnJ2canUxIcaK/qPBjbPy2HeqgR1Ha5gzPp3ROco/VMQaaRY76wpW8ebZ\nd3mtbAOPTrg/2inFBOZRhaTcfCvN69+k4S9/JvPr3xx0LWJfd4sfAkuusCk396Gico0SDIbYvOE0\n50odZOYmcdsDUwfVIbuUvIIU7npkBulZiZSfauSdl0vwdvk/NUqmZOHy0eZ2fCGZmWlJispgAGwr\nrgZgybTP365sOavQaE201W4l4BteG5mQHGJXzV50gpa5WcquVPPW1tB5+hRmsQhjbvhCtYIgcEt+\nGlpB4N2LDryqYTk6rYYvru4e5XxuY6mqXdbDktwFjEzM50hjCcccJ6OdTsyQvOYmzKPH4Co+Qvvu\nftcnXpG+OmU/lSTpkcttwD8POqKKigqyLLPt3VIqypvIzrdy012TMJmHp27FEm/k5vsmUzgujfqa\ndja98RGdbafQmzMU1SWTZZn9DU60Asy0KyO90YvL4+fgmUbSbGbGjfh88bpWH481+0bkkJ+WqveH\ndcpOaj1LY2cT09Ink2BQVlKhbdtWoNsOZqCkmgwszrTR7g+ypaZ5uFO7KinMTmLp9Bzqmjt5Z++F\naKcTE/ROY+o0Ol4pfVOdxuxB0GjI+PLX0FgsNL7yIr66wRncX7FTJknSq320KxhUNBUVFQAO7Krg\n7JlGMnISWX3HRHT64fWe1Om0LF83lnFTMklOlAAw2+YqOkpW0eGhscvHeFs8CQrqkgHsOV6HPxBi\nydTsK3o7xiVPwpRQQFf7WTxtZ4Yt9s7q7gL/RTlhLVIfNoKdbtr3fYQuOYX4KVMHdY6FmTZSjHr2\nNrRR6+4a5gyvTu5YVEBKopGN+y9S1ah2QAAy4tJYV3AjHX4XL0tvqnWIPehTUkh/6BFkn4+6Z39P\nyO8f8Dmu2CkTRfH8FbYKuqc2VVRUBkHZqQaO7rtIks3M6jsmojdExgxcEATmLckgJ9uBy2Vmy0Yv\nPu/lNc8iQbQK/EOyzI6jNeh1GuZPzLzicYIgYMtZDYKW1poPCQW9Q47d7XN5hvyEXEYk5g35fAOh\nfc8eZK8X65JlCNrBvaf0Gg235KchA+srGwmpX7aYDDoeXlVEMCTz5/fPEBxmW52rlaW5NzDaWkCJ\n46TqjXkJCTNmkrhgId6qizS/+fqA2/c1fbmXK9eUrR9Erioq1z3NDhc7NkoYjFpW3zFh2KYsr4S7\n+TCCEKIzMB5HvYsP3jxJUIF6oXZfgNNtLjLMBvLjTf03GEZOV7TQ2OZh9th04vu5vnpTCknpCwj6\nO2ir2z7k2Ltr9iMjR0UGo237FgSDgaQbFg7pXIVJFiYnJ1Dt9nLQ4RymDK9uJhSkMHd8BhfqO9h8\nqDra6cQEGkHDg2Pvwqg18GrZBlq6WqOdUsyQds996NMzaN38Ie6TxwfUtq9O2VclSaq8zHaBAdos\nqaioQMAfZPOG0wQDIZauLcKWGtnViKGgj46mI2h0FqbesIIRhSnUVLbx0dazEY0LcMjhJCTD7DSr\n4oro24q7/S0vV+B/ORLT56MzpuByHMLbObg6EABf0M/euoPE6ZX3uXQfL8HvcJA4Zy7a+KHXsa3J\nS8Wk1fBhdTMdfuVGV2OZe5ePJsGiZ/3u8zS2KulJEbukmJP5wuhb6Ap28dczrxGS1VFE6JbJyPzq\n34FWS/3//YFAW/gd1r5qyjoBRFFMEUXxb6IoOnu2VwDz0NNWUbm+2LvtHK1NnUyYlsXIMfaIx3O3\nHEMOdpGQOhOtTs+ydWNJscdxqriWk0ciZ8wdDMkcdDgxajVMSVFWWqHJ6aHkXBMjMxMYmRne4gJB\noyM5dw0g03rxPeRBfrEcaSzB7e9kftZs9FplxUbbtm4BBlfgfzkS9DpW5qTgDYZ476JjWM55tRNv\n1nP/ijH4AiGe21iq1lH1MDdzBhNTx1HWevbjekoVMOWPwH7nPQQ7Oqh79vfIwfBW74YjoPNrYCvd\n1krzgG09+1RUVMKk+kIrp47WkmyPY+6SURGPJ8shOhoPgKAlPnUGAAajjtVfmIjZomfPlnKqKloi\nEvt0m4sOf5BpKQkYtcpqdO08Vossw5Kp4RuOA5gSRmKxTcLnqcPlODTguLIss6v6IwQEFmTNGXD7\noeCtraHzTI8MRk74Mhj9McueRE6ckeMtLsqd7mE779XMzKI0phSmUnqxjd3H66KdTkwgCAL3Fd1B\nvD6ODefep97dGO2UYgbrsuXET52Op0yi+Z0NYbUJ545ZL0nSs5IknerZngWahpSpisp1hN8XYMdG\nCUGApWuLhn2l5eXwOCUCvlbikiej1X8yTZqQZGLVHRMQNAKb1p+irWX4p2F6C/xnK1zg7w+E2F1S\nS5xJx6yxaQNub8te0a1dVredgG9glrsX2qu42FHDxNRxpJhtA449FD4eJVsWvlhsOGgEgVtHpCMA\nb1c68KsF7giCwAMrx2A2avnbtrO0dgx9cci1QKIhgXuL7sAfCvD86VcIhlRNN+h+v6Q/8ii61FRa\n3nsH96n+dd3C6ZRliaL48Xp2URT1wJWXNKmoqHyKg7su0OHsYsrsXOwZykzndTTuByAxbfbnXsvI\nTmLxahGfN8jm9acJDKMoZjR9Lo+UNdLe6WfBpEwMg+j4avVxWLOWI4d8tNZ8OKC2UZPBcPfIYKSk\nED95yrCfP8tiZF66lWavn511aiE3QHKiiTsXF+LxBnhhk6ROY/YwxT6B2RnTudhRzcYLW6KdTsyg\ntcSR+dVvgEZD/R//l0Bb32LV4XTK3gEqRFF8WxTFt4FzwFvDkKuKyjVPc6OLE0eqSbKZmTF/hCIx\nve5qvO4qTImF6E2Xr10TJ2QwdnImTY0u9m0bPm+/A72jZHblLWm29xT4L546eMORuJSpGOJy8LSd\nweMsD6tNu6+Do40lpFvsiDblxHkBnHt2Ift8WBcPXgajP5Znp5Co17GzrhWHxxeRGFcbC6dkMSbX\nytHyJg6VqtN1vdw55mZSTDY+uLCNs20V0U4nZjAXFGC/8+7u+rI//L7PY8MxJP8b3T6Xm4APgRX9\nCMuqqKjQU2e0qRxZhgUrChWZtgS6a8mAxLS+ZRnmLy/ElmrhZHEN56WhF3N3+1x2kKjXMdamrM9l\nVaOL8mon40cmk26zDPo8giCQnLsW0NBSvZFQsP9OyN7agwTkIAtz5im60lQOBmnbOjwyGH1h1Gq4\nKc9OUJbZoBqWA91Tu4+sLsKg0/DCpjKcbrWzCmDWmXl43L0APHfqZTr9nihnFDtYl60gbuo0PFJp\nn8eFVYUrSdIZSZL+S5KkZyRJkkRR/OqwZKmicg1TfrqR+monI0enkleQokjMoL+DzrYz6E1pGONH\n9HmsXq9l5a3j0ek0bH9for1taDfQo83teEMhZqUlRs3ncmmYMhh9YTCnk5A2h6CvjbrzfU/DBENB\ndtfsx6g1MDtj+pBjDwRX8RECLc0kzl8wLDIYfTHeFoeYZOF8h4eSlo6IxrpaSE+2cMfiUbg8fv76\noTqN2cso6whWj1xOq7eNl6U31OvSgyAIZHzxS+hSU/s87oreJ6Iobuuj3Wjg2UHmpqJyzRMIBDmw\n8zxarcC8ZZFfbdmLq6kYCBFvnxHWqE1yahwLVoxmx0aJLW+f4dYHpqDRDHzFpCzLHGjs9blMGkTm\ng6ezy8++U/WkJJqYPKrvG164JGUspLPtFPUXdpIhihjMl184cKLpNG1eJwuz52LWKSeSK8syrZs+\nAEHAtnxlxOMJgsC6/DTOn6zkvYtNjEmKw6JTZuQ3llk2PYcjkoPiMgcHTjcwZ3xGtFOKCVblL6W0\npZzixuOMSylibuaMaKcUE2jj4sj+h3/s85i+7r4dwJPAYeAj4Bc92x5g4zDlqKJyTXLqaC2udi8T\npmeTaFVG1k+Wg7iaixE0BuJsk8JuVzQpg8KxaTTUtnN0f9WgYl9wddHg8TEuGj6XJ+rx+UMsmZaN\nRjM8I3QarYHknNUgh2iteu+KT/u9Bf4LFS7w7zp7lq6K88RNnoIhXZmOQLJRz9KsZNyBIBur1AX4\n0D2N+ejasRj1Wl7cXEabS12NCaDVaPniuHswaU28Wraexk71/dKLMSurz9f76pR9Q5KknUCCJEk/\nkSRpU8/2U0B1qlVRuQI+b4DivRcxGLVMm5uvWFyPs4ygv4O45MlotOGvfBQEgYU3jiYu3sDhPRdo\nahi46fKBxu4VRdHwudxeXI1Oq+GGScO7KNycNAZr2gS87ircLSWfe73WVU9Z2znG2ArJjEsf1tj9\n0br5AwBsK1cpGndBuo1Mi5EjTe2cbVdV7QHSrGbuXDIKd1eAv3ygTmP2kmJO5l7xNnxBH8+delmV\nyQiTvhT9eyW/i0RR/PgOL4qiEZgY6cRUVK5Wjh2sosvjZ8rsvIh7W15KR4/oaYJ94FMFRpOexWtE\nQiGZbe+eGZA/Zoc/wKlWF2lmAyOU9rm80EJDq4dZY9NIsAy/BEdu0S0IGj1tNZsJBj7dCdldsw+A\nRdnK+lz6GhtxHS3GmD8C8+gxisbWagRuH5GGAKy/0IhPAR/Vq4HFU7MZm2/j2Nkm9p6sj3Y6McOM\njKnMyphGZUcV71ZsinY6VwXhFI+8CVReIolRAQzc+lxF5Tqg0+2j5GAV5jg9k2YMveg8XPxdDryu\nCxjjR1xRBqM/8gpSGDclk2aHm8MfXQi73RFHO0EZZtuTlPe57LGLWjZ9YAr+4WIwWUnKXEwo6KGt\n5pOif0+giwP1R7Aak5iYOi4isa9E29bNIMvYVt6o+PUGyI4zsSDDRovXz9baZsXjxyIaQeCRNUUY\nDVpe2lKuispewl1jbiXVlMzmyh2caSmLdjoxTziSGE/TLYmxuWe7UZKkZyKdmIrK1Ujx3koC/hAz\n5o1Ab1CutqrDcRiABPvMIZ1n7pJRJCSZOLrvIg21/avah2SZAw4nBo3A1FSFfS7bPJScHZjP5WBI\nsM9Gb07H3XKMLlclAPtqD+IN+rghey5ajXIF78FON849u9DZkkmYPrS/9VBYlpVMslHPnvo2qt1q\nNQtAapKZe5Z2i8r+eeMZdRqzB7POxKMT7kcjaHju1Mu0eZ3RTimmCVcS44QkSU/3bCcinZSKytVI\ne5uHU0drSbSaGDtFOdOLUNCHu6UErT4Bc9LQprMMRh1L1xYhy7DtvVKCgb6np6Q2N05fgCkpiZgi\nJF56JbYfq0EGlk6LzChZL4Kg6dEug9aq9wkG/eyo/gi9RseC7M87JkQS566dyF4v1mXLEXTKLqi4\nFINWw20j0pCBtyoaCIbUDgjAwslZTBiZzMnzLew4WtN/g+uE/MRcbitci8vvVuvL+kFZt2AVlWuY\no/svEgrJzFwwAq2CRtzu1uPIIR/xKdMQhKF3jLLyrEyYlkVbcyfF+yr7PPaAo9fnUlkZDH8gyO6S\nOuLN+kH5XA4UY1wO8anT8Xc5OHB+Pc1drczKmE68XjmRXDkQ6BaLNRpJWrhIsbhXYlSihRmpidR5\nfOyuVy2YoHvRzCNrxhJn0vG3bWepa1aN3HtZnDOfyfYJlLedV22Y+iCi3xyiKKaLovgHURQPXrLv\nn0VR3HbJtuyS154QRfFfRFH8nSiK6yKZm4rKcOJ2eSk9UU+i1UThuMh3EnqRZRmX4zCgIT512rCd\nd/aiAuISDBTvu0hL0+W/WJq7fJQ5O8mPN5FpMQ5b7HA4eKYRl8fPDZMz0Sukl2XNXIpGF8fOumIA\nluQuUCRuLx1HDhFobSFpwUK0FmUdE67E6txUEvRattW20NSlqtoD2BKMfHF1Eb5AiGffPk1AXQwB\n9Ji5F935sQ2TWl92eSL9OD8f2PCZfbIkSUsv2bYCiKI4C1jcI7nxOPCUKIrKFqmoqAySkoPVhIIy\nU+fkDUp8dbB43RfxdzVisRah1Q/fx8Vg1HHDyjGEQjI7N15+mf/BKI2SQbeCvwAsmaLcYgqNzozb\nNp3qQJBRpgQyLMp2vls/7BaLtS5foVjc/jDrtKzLsxOQZd680EhIraMCYLqYxoKJmVQ2dLBhj+oB\n2YtFb+ZLEx74uL7M6e2/bvV6I6LfHpIkvUm3CO2lCKIo/lAUxe+Iovg9URR7lTVvAvb1tAsCZ4Do\nj9GrqPRDl8fP6WO1WOINiBOUVfR29RT4xw+xwP9yjBydSoFop76mndPHaj/1mj8U4rCjnTidlgm2\nyFr8fJaKunYq6jqYXJhKqkLCvL3sc9YBME3nx+OUFIvrkUrxXqwkfuo0DHblOoPhMCE5gXHWOC50\neDjkUL9ke7l3+WhSk0y8v7+Ssqq2aKcTM1xaX/bnUy8RktWRxEuJRk3Zq8CvJUl6iu4O29M9+9P4\ndAeuvWefikpMc/JIDX5fkMkzc9HqlPtIBf0uOp1n0JvsGOPyIhJjwYpCDEYt+3ecx3XJMv8TLS48\nwRAzUhPRKTgyCLDtyPD5XA6ENq+T4sbjpJtTGKk30Fr9AaGgMtIHLRvfA8C2ao0i8QbKzflpmLQa\nPqhuwukLRDudmMBs1PGVdd1yKX989zQer3pderm0vuy986p+2aUovnxHkqQzl/y4DXii5/+NwKXz\nL4k9+/rFbldnOaPB1XLduxoacOzcTUephKeuDmQZrSWO+MJRWCdPJHnWTDT6wYm8+rwBThbXYDLr\nWbRiDAZjZD9Sl17zuvMHQA6ROXIB9rTISELY7QmsWDee914/zqFdFdz1xe4RuSPlNQjAqqIsUhWs\nJ3O6vBwsbSQrNY5FM/OHzVapL3qv+dYT2wjKQW4ZfyNZcid157fgc+4jN8Llr65z5+k8dZKkiRPI\nmz0lorEGix24Mxjkrycv8kFdC38/vWDIGmpXy/2lL+z2BO6qd/G3LWW8sbuCx+8dvrrPSKDkNf/2\ngkf4p03/Hx9UbmNS7hhmZE9WLHYso1Sn7ONPpyiKv5Ik6Xs9P44BzvX8/z3gJz3H6IEiYFc4J3c4\nPjtDqhJp7PaEmL/uPkcjTa+/iqv4CPTUumgTEkCrxetown3uHA0fbkKbkIhtxUqsK24ccOes5GAV\nnk4/M+bn42z3ROLX+JhLr7ksh2io3IegMRDSj4no3yJ3lI3MnCRKT9RzYM95jDkJVLR1IiZZkN0+\nHG7lCrzf31+JPxBi4eQsmpsHbgc1UHqvuS/o58PyXcTpLIyNG4dO0KAzHKGxcjcaUxEGS+SmrWtf\neg2A+OWrYvozV2QyUJBgpqTRyabSWqalDv5B4Wq4v4TLsqlZHDhZx7bDVYg5Scwsis0JoGhc80fH\nPcB/HHmG3+17ju/N/BbplsEJX19t9NX5jfTqy4XAg0BGTx2ZCfCLovhrURR/CNwLfANAkqQDwHZR\nFH8O/Ab4jiRJaoGCyoCRZZm2Hduo/NlPcB05jDE3j4xHv0LBU79h1K+fZtR//IbC//o9eT/+Z2wr\nbkQOBml683Uq//nHdJae6T9AD8FgiJKDVej0GibOiKxW1mfp9rls7/G5jOxIlSAILFo9Bo1WYPfm\ncvbWdcsfKO5zGZLZXlyDQa9hwURla/cO1Rfj9neyIHsOBq0BQaPDlrsGkGnpw7B8qPga6nEdOYQx\nLx/LuPERiTFcCILAHSPTMWgE3r3owOnzRzulmECn1fCVdeMw6DU8t7GUprbIPrxdTeQkZHFf0R10\nBbv4w4m/0BVQnRAiOlImSdIuPj/a9aM+jn8qkvmoXPvIoRCNL72Ac8c2NBYL6V/6Kglz5n5uKkXQ\n6TCNGIlpxEiS191C89tv0bZ1C9VP/YrU27+AbdWafqdfzp1pxO3yMWlGjqIel/CJz2XARV6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FzeGLFhuoKUeD0v3TeaQDDI71adjij+X0NudBbPFD6KN9DF70++QZP71pBZiSRlEYY8zkMHCNjt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\nGE0035/wL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U9nRpKy25CuQBd76w5iUOqZkijNhNplPOUX8VZVoh8/gdljFuP0ufj8wnpJ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\nMolEIpFIJJJZwP8F17fO2P8uXToAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d44ed10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gammas.plot(figsize=(10, 5));\n",
    "plt.xlabel('index level');\n",
    "plt.ylabel('dollar gamma');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JRFLSPjZtev87+wYGBvHMM89d85zl5WX8859r+e//fhGjse1H6+XldXF7SEgo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\n+VLv92xcIwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11bef9890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gammas['sum'] = gammas.sum(axis=1)\n",
    "gammas.plot(figsize=(10, 5));\n",
    "plt.xlabel('index level');\n",
    "plt.ylabel('dollar gamma');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gammas_k = pd.DataFrame()\n",
    "for K in strike_range:\n",
    "    gammas_k['K=%d' % K] = dollar_gamma(s_range, K, t, T, r, sigma) / K\n",
    "gammas_k['sum'] = gammas_k.sum(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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alksXy1n13kFyzxYTYfZn0ow4SbZEm6DT6Rg+IQrfDiYO7z9L5uFcR4ck2ghb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\njUaj0Wg0miajBZdGo9FoNBpNk/n/dRDTJVf8AwcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c648850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gammas_k.plot(figsize=(10, 5));\n",
    "plt.xlabel('index level');\n",
    "plt.ylabel('$K$ weighted dollar gamma');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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X3HnnIgAOHtxPdvYQACZPnkJp6RZmzvwCtbU1NDUFGTHi1DwHcfQ/jnMkw0IC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\nsB1AUZRGoF6WZZuiKD2nCDc7YAXapvE8skLopHi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AeCxVVWTJuHib8LxNrkFk5xysNJ2g\n2FaA3WCjabj5gqGF4TdfJz48jOeW2zAWF2fEvlRe3TfRmM30/+YJkf8mEAgmjcNl5vYH6rj5nqUY\nTXp2bmnluX/fTU+HL9umCeYYQrxlkERavNmtmQ2buu2f7vV2ProCPdgNNhyGuTcBTSNpWOyuxh8N\nnGxncjZiw0OMvPUGWqcTz+13ZNBCMOTmkf/Yl1GjUbp/8i8ko6KrukAgmBySJFG5OI9Hvr6GmhVF\njAwGeek3+9n8pkIkLAoaBCmEeMsgiXjK/W23Gy+w58xytka95yIYCzEcHpmTIdMJluZcOHQ6+MLz\nqNEo3vsemPHq0slgX70W5zXXEe3qZPD5ZzN+foFAcGljNOnZeEs1935hBZ5cK4f39/DUz3Zy9HCf\nKGgQXFi8ybJsk2X5IVmWr0r/XiHL8rWzbtk8RE2oqKiYM94qJJ3zNomChZPNeedYpempTPR7O5d4\ni3R04N/5McbSMhxXrs+kaaeR+/CjGAqL8L3/LkHlSNbsEAgEly4FxU4e+NIq1l1TQTSS4N2Xm3jt\nuYOM+ULZNk2QRSbjeftLIATUpJvxtgGiaGEaqIkkSSQ0GUicPxWbWY9OK53WqPdcXArizWGwU2Ir\n4rivlUji089p8Pe/A1XFe+/9GSlSOBcag4H8L30FJIm+Xz5OMjK5sLVAIBCcilarYeWVZTz81TWU\nlLvpaBnmmZ/vYt/H7aKg4TJlMv/Z9gCNiqL8DPhX4G4g83Go+UBSJXlxE5mmhSRJuGzGSYVN53Kl\n6aks8VQTVxMc87Wctj3Ucpzx/fswLarCUluXJes+wVy5CPfNtxIb6GfwxeezbY5AILiEcbrN3Plw\nPTfctQSdQcvHH7Twwi/30Nc9lm3TBBlmMvG7JuBR4O8URQkBL8my7LrYE8uyfANwH9AHoCjKd894\n3Aj8EOgCFgHfUxTlqCzLq4FvA3uBxcBORVF+frH2ZAJJBVWbBfVGKu+tpXuMZFJFozm3DV2BbnQa\nHfmW3AxaN3WWeKp5p/0DDg0p1OR8MpN16OWXAFJet4ucXTpT5NxzL+MH9uN7711sK1djqZazbZJA\nILhEkSSJ6pp8Shd6+PiDFpoO9PC7J/ZSu7KItRsXYsxwWo4gO1zQ86YoyhFFUf5OluVHT9n2y4s5\nqSzLZuAnpAbbfxeol2X5ujN2+zbQpijKPwD/BPwivb0Q+CdFUf438C3g+7Isey7GnkyQTCbRokLW\nxJuBpKriD547dJpIJuge76PQmo9Wo82gdVOn0lWOSWuicbDpZPJuuL2NYONBzNUyFnnxBVbIHBq9\ngfwvfxVAhE8FAsGMYDLrufY2mc98djmuHAuNe7t55uc7OX5kQBQ0XAZMJSHo2+d6IC3GpsKVwIlT\npjNsA87s53AHsB1AUZRGUgLPpijKK4qi7E7vIwGx9NecJhyOIyGh0WYnB2tiysL5GvX2hwaJJ+Nz\nOt9tAp1Gx5KcaobCw/QG+wEYefMNADy3ZbY1yGQwVy5KTV/o72Pold9n2xyBQDBPKCp18dCXV7Pm\n6nJCoRhvv3SIN15oxD8qRvTNZ6aiJP5NluV7ztwoy7JEKrw5FfKAU4dTjqW3nW8f/1n2+SNS4dzJ\nD7rMEoHxlMcrW+LNYzcBMDJ2bvHW6b808t0mqMtZAkDjYBPRgX78u3ZgKFkwJ3LdzkbOZ+5F5/Uy\n8s5bRDo7sm2OQCCYJ2h1GlavL+fhr66hqNRF27Ehnv75Tg7s7CCZFAUN85FJB8cVRXlcluVSWZY3\nKoqyRZblBcDXgS8BLlJCarL0A45Tfnekt51KH2A/1z7pMK5FUZS/m+xJc3Oz13R2cCRV1m006bJi\nR8WCVJpiOKGe8/zD3YMA1JYsmjEbZ/O5brSv4smmZ1HGmlm3uwdUlfKH7yc3z3Hhg7OCHcO3/oDD\n3/1bhp/6NXX/8L8uqho2mUjS2TZCx4kRejpH8Q0H8Y+GiccTqGrqvWa1G8nJtZJX4KC0wkPRAhda\nnWjvOBtk8/pyuSJe89PJzbWzqDqPht2dvP3yIT56/zitzYPc8UA9RQsuOlX9tPMIssukxZssy7Ki\nKIosy/myLL8CrASeAK4FKqZ43u1AqSzLekVRYsB64MeyLLuBeNqT9hqp8Oo2WZbrgP2KogTStnwN\nsKZz8WqBiKIoF5xUPjCQPQddd7oaSNJIWbFjYiBXW/foOc/f3HcCAFvCOSM25ubaZ/25ljtKaWtv\npvcdH3pvLmp1XVb/zhektArb6jX4d+/i2O9exXXNmame50dVVfp7/Bze301r8yCRcPzkYxqthNVm\nxOYwkUgkiYTj9HaN0t3uI1X3A3qDlrLKHBYtyaO00oM2S57g+UYm3uuC0xGv+bkpKnfx8NfWsP39\n4yiNffzi/26lblUJa64ux2C8uIIG8bpnjvOJ5Kn8Ff9QluU/VxRllyzLTwPfUhRlIvbTcr4Dz0RR\nlJAsy98EfiTLcj9wQFGUTbIsfw8YAr4P/DPwA1mW/xqoBL4KIMvy3cAPgH3pMK4H+BPgguItm0yE\nTfXG7BQCeJ2psOngOfIgVFWlM9BNjsmDWXfpdIKp9S6hcMshiMdx33IbknZuF1oA5D3yWYKHGhl8\n4Tlsy1egc174jlhVVdqPD7N72wn6e1IXTqvdQOWSIkrKXOQW2LE7TUiSdNrFNZlU8Y+GGezz093u\no+34MMea+jnW1I/FZqBmRRF1q0pEhZpAMM8wWwxcf+cSqmsL2PJWMw27O2lpHmDDTVVUVHmzbZ7g\nIpnKFfsh4HOyLB8GPgQ2yLL8l4qijMqyvEFRlA+ncmJFUd4D3jtj21+c8nOYlCg787iXAfdUzjUX\nGE8XCphMmR1KP4Hdoseg0zB0DvE2Gh0jEBun0jVVJ2p2qbVVMHI0RNRiwLF+Q7bNmRQ6lxvvvffT\n/9tfM/DM0xR+4w/Pu/9gn5+t7xyjt3MUgIoqLzUriygpd1+wHYpGI+F0m3G6zVQuzmODqjLYF+BI\nQy/Nh3rZtfUEDbs6WbamhLrVJRd9Vy4QCOYWJeVuHvrqavZ+1M6+j9t584VGKqq9bLipCluGRzUK\nZo6pXKm/BbxKKly6AVgCNMmyPAjE09sF5yAYTBXEmi3ZEW+SJOFxmBgaO7t4+6RYYe5Xmp6KZa9C\nMKays9bCEt3c97pN4Lz2esa2f4R/58c41m/AWlP7qX3i8QS7tp7gwM4OVBXKq3JYu7GCnFzbtM8r\nSRK5BXZyC+ysu6aCxr1d7N/Rwc6tJziwq5PVG8qpXVl83l6AAoHg0kKn07J2YwWLluax+c1mWpsH\n6TwxwrqNFdSIz/slyaQTXhRF+b2iKAlFUXYpivJ/FEW5X1GUIuAB4PDsmTg/CIVSYVOr1ZA1G7xO\nE4FQjHA0/qnHOtNjsS6VSlMANZlkdNP7JHUa9i3U0TLalm2TJo2k0ZD3hcdAo6H/10+QjJ7ef294\nYJznf7mH/Ts6sDtN3PlwPbfdX3dRwu1MDEYdK68s4/PfvIJ111SgqrDt3WP87ok9DPSKnBaBYL7h\n8Vq553PLuea2aiRJ4sN3j/Hik3sZ7BOf90uNi85WVhSlmVR+muA8TCSW22zZE2856by3s4VOT47F\nsl864i14uJHYQD8sqyFs1HBw6NK6hzCVluG+8WZiA/0Mv/bKye1HD/fxwhN7GBkMUrOyiIe+iKGD\nLQAAIABJREFUsoYFFbPXh3pCxD36jbVU1+Qz0BvghV/t4cN3jxKLJWbtvAKBIPNIksTSZUU8+o21\nVC3No7/Hz/O/3MNH7x8nFhWf90uFGSk1UxRl50ysM5+JpsWbI91vLRtMFC2cLXTa5e/GojPjNs5c\nOfls49v0PgAlN9+NQaOncfBIli2aOjl334POk8Pwm68T7upix+YW3n25CUmSuPmeGjbeXI3ekJlw\nsMVq4Ia7lnDXI8twuMwc3N3F87/cI+7KBYJ5iMVq4Ma7l3LHQ/XYHCYO7OzgmZ/vpO34ULZNE0wC\n0ScgQ8TTdzROR/YSRHMcZ684DcfDDISGKLEVzZl5oBciNjjAeMMBTBULsVVWIXuq6Av20x8czLZp\nU0JjMpH32c+TTKi89eR29m5vx+k2c/9jq6hcnJ35shMJzvWrS/ANBXnhib0c2NUhRu4IBPOQ0oUe\nHv7aGlZcUcp4IMrrzx3kjecPMpruTSqYmwjxliESsVSXa5cze204zhU27R7vRUW9pEKmvg82gari\nuu4GAOq9SwE4MNCYTbOmhbGmnkPyPXTjJdcB935hBe4cS1Zt0um0rL9xEbc/WIfBqOOj947z+vMH\nCYfm/CQ6gUAwRfR6LVdcu5AHvrSKwgVOThwb4pmf72THlhYRSp2jCPGWIZLxJAnAlMV+Wt60cDzT\n83apjcVKxqKMfrgFrc2Obc0aAOpza9BIGvb2N2TZuqkRiyV4/bmD9Ccc5IS6qWt+EUMyeuEDM0RZ\nZQ4Pf2U1CyrctB8f5oVf7WGoP5BtswQCwSyQk2fjM59dzo13L8Fk0bP3o3ae/vlOjjX1C8/7HEOI\nt0yRSKJmOSLptBnQaqRP5bxdasUKgV27SAYCODZcjUafKgCx6a1Uuypp93cyFBrOsoWTI5FI8vaL\nh+hu91FR7eW6K9xIgVEGnn8226adhsVm5PYH61l1VRljvjC/e3Ivx4+cOc1OIBDMByRJomppPo9+\nfS0rrywlOB7lnd8f5uWnDjA0IG7c5gpCvGUIjQpqlnvpaCQJj8P4qbBpp78HnaQl35KdHKup4tv0\nHkgSrmtPHy21Mq8egH0DB7Nh1pRIJpO8+/Jh2luGKV3o4abPLMV7880YFyxg7MMtBJuVbJt4GhqN\nxNqNFdxybw2SJPH2S4fZsblF3I0LBPMUvUHHumsW8sjX1lBWmUN3u4/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s6B9lIJxulK3T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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cd5ac90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gammas_k2 = pd.DataFrame()\n",
    "for K in strike_range:\n",
    "    gammas_k2['K=%d' % K] = dollar_gamma(s_range, K, t, T, r, sigma) / K ** 2\n",
    "gammas_k2['sum'] = gammas_k2.sum(axis=1)\n",
    "\n",
    "gammas_k2.plot(figsize=(10, 5));\n",
    "plt.xlabel('index level');\n",
    "plt.ylabel('$K^2$ weighted dollar gamma');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "## more dense strike range\n",
    "strike_range = range(10, 350, 5)\n",
    "gammas_k2 = pd.DataFrame()\n",
    "for K in strike_range:\n",
    "    gammas_k2['K=%d' % K] = dollar_gamma(s_range, K, t, T, r, sigma) / K ** 2\n",
    "gammas_k2['sum'] = gammas_k2.sum(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ft+jcl+rTnOXHK3jhLxVmm5YnLBTVbSoiIiKLpJaN6TuBLwBvjQ7dDvwPa+3h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\nA3brtrb3fa+Ov5cj1Ro+SeaOa5rxXs0tTSFy3/8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jOXSrGm2qhuLUGn6m11LLwHxaUMFD\nGR0LBaGGEVoERYvg8zbh97Xi0f34Ffl9J224uLi4uPz64Yq3BkhGDVNIaA36qF2pNl0t3pact2Bb\nM/LZ/ArnbbnSNO5bISKWWOcNIdcEealxIcRovkzNdti4OFXBt3ET2QP7KZ8fwtu/lvlMmaHxDBt7\nIrRcIw59fo32rjDvKK8B8MCauxuewyoWST33HKgKys0hSpkh/NEtK7bJZyu88fIFVE3mkQ9voTyf\n5GKuxGi+TF+wfl7LLLEw8kMss0ys51H8oTV8/sEIf/z9Y3znxSH+7W/cgCJLK4Tb59a1sy7sJ7r1\ns/ynI3/JDwafojPQTlSN8Y195zhyfoFwQOP3Ht3K+u4I5b4/ZPLP/oTpv/kruv/1/4LS08UvRl/h\n5bH9ODjc1LabBzru5eDEKOdPzmMZcPcjG5Flicr4GImnf0LpzGkA5N4o0lYdbUM3gf5dKJ56WDqg\nKjwUCeE5m2TmYpIxsz4rNtYaYGB9E119MZpaA5weTfHkqxc5OJJgIjfJB66zaPPOcFNlDvzq8v3P\nmhWyjiDg76AnuhEpV6V8/hLzl6ZZUINkgnGy7WtIBZsoSSq1a502i3qK3TILiw9QsQnKMgFZpT3k\nJSAEzV6NVp9Oc0B3e9a5uLi4/BrhircGyEaVmtQ4FFhcHkq/er2ZqjtvWryJeMhYId6WK02bGouz\ntkXjZNqy2dxg/WB6MWQarbuB3vUbACgNDRJ76BHePLXoum1rb7A3RNZJ5ItztEptrIv0N9wm+fNn\nsQp5oh96mLJ/iPz82/gim5crJm3b4dV9g9SqFnc9vIFw1Mv9ahNfz03w4kSC39nUhXBsEqNPYVZT\ntPXdhRbZAcC6rgh37uzgwIlpXnp3nIFNzXx/eAYBfH5dBwOL0yI6Am18euPH+fa5H/K3R59AjOxh\ndCbPhu4Iv/vhrYQX88K8awdo/+3fZfqvv8aJf/gqrz7QxXRlgbgnymc3fYL10bob+aHHw/ziqVMM\nn5vHyWfZWjxJ4d136sfYuInmjz2GvmYNmalfkl84zOz5bxLrfZRsro0ThycYu1QX5IGAhtHhZzym\nMh/SGeiO0tIURAjBli74V48USM+fQhP1+1QpCdA6iTb1o/t7sLQYZ2aOsH/iENXiPN60n/bgZio9\n/eTbrRX3QTFq+As5Wj06Hn8Is2SRXSiSz1YwDBPbMXGEQ82wqVQcDENgrzzEKhRVQtcVgj6F1rBG\nNKwRD3poCftob/LTFg2guMUULi4uLv8scMVbA1Srhqk0Fm+FXzGU3kjWO/krsRjxcJrBsTQ1w0JT\nZRJz9WH38eb3GWhvZqkC50oZ7r1mneM4DGaKeGWJnkC9SawSDqO1d1AevohVM3jzzAweTeb6DS2r\njg0w7DkNRYhPNxZu1akpMq+9itrcQvyhj5CcfJZyZpBqYRRPsL7PyXcnmJnI0re+iQ3b2gDoDnjY\nGg1wJl3gZCJHT/kg1cIY3vBGOgYeJJG40pLj43vXcvxigl+cmyGqGMiS4HPrOhgIrXQxb2jbxemp\ncd48KOFU89yypZUvPrwJ5ZrQoH/ndVx8/DZetIawKwvsab6Oj236MJ6rGunqHoVHPr6Fw3/xA+Kv\nv03BMdC6umn++Cfwbdm6LEyjXQ+g+Tq4cPwAh966QCZbb+7W1hlix43drFnXhBBwLJln3/gCz12e\nJrlwnC3yCFZpsn4uWUfxb+boeIh9R6FmKdy4qZmP7+0gV3MQ8k7aIgOkqiYAC1VwnAItHoedTR10\n+HxEMgmsA29y6dg5JpUok742ZkOdpK3Gf6q6EMR8En6fharmsdU0FaVKRTEwZRNLNrGlCo5Uw5Is\nMpJJdsmEKy4+psFxQLJVFFSC6MS0IM2+EFE1QFgLEg820xxoJRqIIymq2wLFxcXF5f9HXPHWAMUy\nqGqNJygUjSIt7zOUvjYzg+TzIweDxMN1AZHMVWiP+5mfqQ+sb2kPrdrPsS1qxXFyjsSl/CymbaJI\nV27NdKlKzjDZFQ8iX/Wj6duylcwrL3PizVOkclXu2NG+oinwEgulJCeSpwlZUcR4mIXZ/IrrcByH\nhR89AbZN8ycfR1JVQi17KGcGyc29iSfYz8JsnncPjuILaNz54PoVP94PdTcxlClyefJN4hxH9bYR\n7/0w4prmtX6Pyv339PNGvoBtO3xuoH2VcAMYnspy4lAMp2qgdAzTsxUUeWX4tmxW+MHgUxznPH6h\ncs/rCTb5LqGtFyu+1eWRS8x/7zu0ToxjKTqD0T2YfdfxUN+GFe9hbjrH4QMWU2NbAWhtSbBpi2DD\n9TcjyVfE4M6wRGfzZQqJI2jVKhZgeHpoa7sBX3gDQlL4wABs3pjjeweHOWdU+bPTY0h6/b5okmBL\nNEB/UGUmf4a3pl9juFBhOhFlvbSHairKYKqfcnvPlftcLbOmNk9HSKVv61q6t6wlm0szNHGB0fQ4\nBU+GpC+LpRqrPksADfBKMprtIZj34c+YeLI1AqUa/mKNQLmGp2ahGxaaYfN+2XNJBPOSQlXWqfq8\nOF4fss+PHgijBcIo4TBKJII3HsPb0oQeDaHp8oqG1C4uLi4u/3hc8XYNlmWh2wY5dfV4K8MyqL7P\nUHrbqGHMz+EdqDfYbbpGvM1N5wFoaQ+u2rdanMCxDQpqDNPJMVWYWVFQcCpVd+02RVYWUASu203m\nlZc5dGoa8HPbtsZVqr8cfx0Hhztbb2cUk8GTMyvEW+HIe5QGz+Lbug3/jp0A6P5O9EAflfwoxewE\nr/58Btt2uOvhjXh9K13JqK7yYDRHR/YohuSjo/+TSA3CykOZAm+XikgCkscXOFEUbLh7ZX+4o+cX\n+Lufn8WyHB67t4c3q+/ws9FhYt4oN7TtAmCqMMM3Tn+P+XKCteE+vrj5cSojPyT/7mGm/uKrdP7B\nH4IskXzuWdIvvQCOQ2jPbcQ++nGm35jhwtk5nvneMR5+bDuKIvH2/ktcGqrnjnX3x7h+Tzui/CLV\nwiiz52dp7v8EQqhk596gmDoFjoVH9pL1Xs8vch2kC362pwJ8KChQHJuTqTzvpLNU1wYJAI5pU5oq\n4ClZfPCGXnYP1Fu0JDw3ocx3cWDoMsmUxNtYQIJAQHDbhjbWd0UZ6AjiGz3HzOtHuVCe4sLYIfab\nPtI+p67KFkfWes0ASjqGXvETdMJsisXY6JXwzo9Tu3wJY2YBp9BY3FmyQtnjJRsKU1CjVJQAhvBS\nFRo1oWJLOrbQsN8nlYASSBULLWegzSZR1VlU1UQSDkKyUYSNqjroukDzaKheH5pHR9c1vH4PvoAf\nXzCEonqRFB+S7HGdPRcXF5dfgSverqGSrxckOGqDYgXz/YsVajMz4DhoHXUBFV8cxp7IVrBth4XZ\nPNEmH5q++iOv5EcA0AJ9sDDOWG5yWbzZjsPpVB5dltgQWXle78A6ypFmTpe8tDf5WNu52tXLVLMc\nnjlCszfOvVtu4Yk3DjM8OM+euwdQNRmrVGL+R08gFIWWxz+74kcz3HY788OjHHrpBOlkkG27O+np\nj606h1FZoLvwS0wh2GfcymOGTsc1H99gpsATwzNIQvDpgTa+ezzJS+9OsL4rwq71dTHzyyMT/OiV\ni2iqzFc+vo3ta+PsKHyJ/3zsr/n+4I+J6CESlTRPnn8awza5r2cvH+x/AFmScb70ZRzLonD0badX\njgAAIABJREFUCON//O9xTBNjbha1uYXWL/4mvsUcwbs/ECYY9nD0rTGe+ocj4IBl2bR2hLh5bz8d\nPfViBcf5DJnpV8nPv83M4N8CDuCg6DGCzTfhj+2gS9ZordT4ycgcp1IFBjNFBFCzHSRgU8TPrniQ\nHo/G82+N8+r5Sf5q/DSdTX4kSTAxXxflkpBZ3xNEjSQZE0cwtSwjngjtwRs5XVQ4Iw9yaXcRh3qV\nrmZYrJky6MpJrF2zkw17HsRnKywcOcnC0EnE5Fk8Rh4LKCx+/nI4gro+BmEZw1ckrwQoEKZgN1Gs\nNZPOKBhVe9W9BUCV0L0mHm8eWS7h9Zbx+8oEfGVC3iq6aqJITsNda45CAR9lx0sVlSw2VWyqjkHV\nUrFyJexcGhtp8SFwHIEkQBESiqygKiqKpOJRVLyqjlf14tP8+FQFv6YQVBUCqrzClXZxcXH5dcYV\nb9dQztdztBxt9QDybLUe+gzpq92z2vTiQPmOesuMZectWyGdLGLUrIYhU1gSbxKt8W0weoCx/ARw\nCwAThQqZmsl18SDqNeEnIUmc6duDnZe4o0tp6Fa8ePk1TMfi/t67UGSZjdvbOfrmGEOnZth2fRfJ\nZ5/GymaIP/oRtNbWFft6gmtI5rYyMhIkElO4ee/qfDnLLLFw6Uc4dhW75WHmpsM8fXme39t8xTkc\nTBd44lJduH1hXQf9IR9f+cg2/v13j/CN5wf535t8vH58mpffmyDs1/jDx3bQuzgjtSPQxpe3fp6v\nnfgGf3niG1iOhVfx8KUtn2F785VQqlAUWr/4W9RmZqhN1XPQQrffQcunPoOkX3FRhRC0doTw+lTK\npboTtXF7G3sfWhlGdaxqPewrZHDq1QC6v5em/k8iL+bUOY5DpmriUer3xbDrAqbNq/FYXxvt/ivn\n3burg3ypxruDc0wt5gHGQzoP3NjDTZtbCS66mcOZdTx9cR9j+Un2jb68vH9fqJdtTZvYEBugreYl\n98rLZM8ewDm+n7ln9i9v5wVkvx+rexNzToTpip+cHkfyB4jGfdg2pGYLWNbVYsvB7yvQ3GESbQoS\nbfZj6mWqdgLsJBEy+MTKtjf19w/ZqsZ0oYmkHSErhahqfiqyTlloVB0Ptlj9P0GO7WAbNnbVwqpa\nV5Y1C8e0sU1ncWnjmDUcqwpO/fNeTM4D2UAoBkI2QbYRko2QHSTZRlZBUQSaIqOrMl5VIehRCXg1\ngrqHsNdLxO8j6vcR0D14FB2/6keTV7focXFxcfmniCverqGSW/Qq9NXiba5UD621eJtXratNL462\nWhZv9bYZyWyF+cWQaWvHatFnmSVqpWn0QA/NwS40WWM0O768/mSqvu/2+Op9Tcvm3VoU3aqwOTkE\nXL9i/UIpyZvTh2nxNnFT224Atu3u5OThCU68O0F/tEpm/6uobW1EH3x41fFzmTLHjjYhywa7d44g\nK3tWrHdsq15ZWksTar2NSMf17KrOcjyZ5/XpFJ9qCXEuXeCH1wg3gK6WAJ97YAPffH6Qf/ftI1Rq\nFu1xH3/0iR3Ln90SUU+EsB4iXc0gC4kvb/0CG2JrV2xTGR9j9pt/T216CqHrONUqlZERrGJhWbxl\n02XefGWYsUtJhID+DU1MXk4zdGoWIQS33TeAJCzyC4fJzb+FY1WR1SD++HWUMuepFseYu/ANYj0f\nZsSI8PpMislivaFzj9/DpoifU6k8M+Ua37wwyQMdceRsjf3Hpjh7OQ1AOKCxrjPMpaksyVyV598Z\nw5EM9JZ53p09ymhuDABVUglpQdKVNDYORbNIU00lfGyY5KmTlAbP4RiLYVAh6qIG8KwdoPfxTzJB\nHGU0jT2cxEyWoGoth+5VVaa9O8SadXGamgUqg9QKo5jV5FVfzMWlAEcJkxNtjBtBJswIGUKU8SIk\nDUN1sBv8K2LVLCgayEYeahUq5QqlfBWzLLCrKjgNXDLJROglhF5G0ssooSqSVgWtCmoFFANkA652\n+RwHb9XBV7Hxl208VRu9aKPXHHTDQas56IaNbDkoFsi2g2xDxXKYc2AWsFBwJAVLqDiShiMpOKoK\nqoqkaciqB0X3oGpeNN2HLxDCEwyiBnyogQBq0IcmCyplA1WTkd2eey4uLv8f44q3a6gUFqsjPavF\n2/ySePOtLlioLjlvnV0ARIIasiSYz5SZ196/WKGSH62fLrgWSUisj/RzJjnEQilJzBvjdKqAT5FZ\n2yCx/72hefJVmxvLl6kdH8T51KeWpy0A7Bt9Cdux+cBiaBHA69PYuL2dM0cnmPzmtxCOQ+tnv4Ck\nrnQdLMvmlZ8NUqvZXH9jFY86SSFxhGDzjUDdBUlNvrBcWRpuvwuAD/Q0M5Iv89p0imDAw88uzaAI\nwRfWdy73gVti+9o4Yb9GtljD51H4nz+zi5BvZa7hsflT/GDwKSpWlb5QD6O5cb43+CR/eN3v0uSN\n4ZgmqV/sI/n8z8GyCN+5l6aPPUby2afJvPYq4//h39HyO3/A4KzM8cPj2JZDR0+E2+9bR6zZTy5T\n5qVnznL+1BSydZo1PZdxrBKS7CXccS+B5huQJJVw622kpvdzfG6a44OzpCkDsCXq5862GF2LVcC3\ntUd5bWyBXxyZ4G8PTGJX6ipofXeEu6/r5Lr1zSiyRKVm8sTb7/De/FGeSe5DZOohy02x9dzSfgPb\nmjajySqJhQmOv/Jj1FNDBBfOLXZ1qzu8gZ278O/Yid67hrl3jjN86DSzRYUXn7iMJdW/j7IsaO8O\n09pR/+4tTC9gVScJe4dQKlmMZImrM+FkNYjjOJhGkRRhZp1mEvYaFpwYKVNiRXB00Wl0LBu9YhM0\nHJycwfxCkVSuim1fG0rV0VTwtRRx/EkqagLUIkKtgWwiGoReFdMhXLCIz5pE8w6hsiBQcvAXTbwV\nE49hrNRygCnpVBQfVcW/vDRkD2VZx5B1DE2nJuuYko69WBgkSRa6ZqCoJqpSf9SfWwjVwFYsTKmM\nLRWpSXNIVQfJsJGyNkJyuHRBYKNgImEJGduRsSUJW8jYkoJAQcgKkqIhKyqyrCKrKoqqoek6Xs2L\npuioqqe+VLyosoIqCVRJuDmALi4uK3DF2zXUCiUUQGog3pact2tnggLUpqaQA0GUUP1HUpYkOpv9\njM8VmDMdZEUi1qBNSCVXnxqw1I5je/MWziSHOJU4S0foOoqmxU0t4VX5PI7j8OLhcYSAvesjWAez\nFI4fI3hDXVxN5Kc4OneS7kAHu1q2rdh3x41dZPa/gliYInjzHnwbN626rncPjjI3nWPd5hZ23dbN\n7NAZMtOv4Q1vQNHCZGcPUEweu6qytH59XkXmk/1t/N3QJM9emEaVGgu3mWSR//LUSbLFGpGARqZQ\n46n9l/jiw5uQhMC0TZ4Zfp7XJ99EkzW+sPlT3Nh2HS+P7ee5Sy/w1WNf5/eaH8b64TNUJ8ZRYjFa\nv/Al/Fvq1aLNj38WpbmNs8+/ycEfn6ei+PEHdfbcvZa1G5uXrzcY1nngEYmFsWOoSgmjKiP03XRt\nuWe5ytSwbY4l8hxMrSVt9yKwWS9Gud4zzUDb3XgWhdvIdI5Xj07y3tAcpuUgyQJvpx9/V4CNfU1s\n7oyTN3K8M36Ud2beI2GlkOKgO0GKU22YCx0koy3o3mbKI+8xf/gdSufO0GvbIATZ7jgnWmqMdGro\nzSH2BNsJzwjGD5wgMV8E+sEPQaVGJDlIvDhBXCkS3nY96po4tdo0nZHp5XtgWjILiSjpTAhHbcPT\nt4FaJMBEqcp4rUxlSXzVQMWgXSRp0yEsRbCrASbmilyYzJJMlZaMv2VCIZ3OZg3ZlyNjzZM2E5hq\nFuEtUJXqQnXJnxIIAjVBKFMjmjOJZU1iOYumnIO/uLrIwhIyJTVEXgszG26i6IlRUgJUhY4hVFhR\n5eygaQY+bwWft4Jfr+H1pvB4q+i6gaYZ6FoNVb7SKM9wFIp4KOGl5HgXlx6qaMuPmqNeeY6KbYFV\ns3EMG9uwcSwb26iHf5dDwJaDY9cf2EvPa+CUcVgAYdXdR8kEyQJhLz+EWAwLS0sPkCSBLMkokoSm\nyIthYgWvIuFXNYKKis/jwavpBHQvfo9O2O/Do2hosooua6iS2/bFxeWfI654u4ZasS7eZO/qEVbz\npQSapBLWVzpodrWKkVjAu279itfXdUWYnCuQWijS2hFaFU5xbJNSdhBZDS3PM93WtBnB05xKnGW8\nXA8N3ti8ckg7wPGLCSbmC9y8uZX+Gzdz+eCLpF/9JcEbbsRxHH584VkcHD488AjSNS07PNUs61LH\nMCSN9Oa9XNvW9/LFBCcOTxCOernjgfUomkKk835S4z8jNfE8nuBacrMHUbQoLWsfX1VZmqpe+cGN\n6yrd/pVCeHAszV89fZpS1eQDe9bwwI3d/OcnT/Dm6Vk8qsIDt8X51tknGMtP0O5v5be2fpY2fz0f\n7/7eu5BsmPrZTyic+a9IDoRuu53mTzyO7LviTmaSJd5MtjDZthfhWPSmTnHduk5a19+IEALHcShn\nh8hM78esJlBVmZqzlUNvhyiXFAZGR7jxnrWcypc4NJcmb1goQnBTS5jbmv2I1CiFhXGmhr7LcOEG\n3hmNMDZXd21bYz7uvq6TW7e2M1Gpsm98hkPTxzkwfoGaWc/H0ySVm9p2c0v7DQxE+phP5Dn0zOvI\nJ59HvDXB3FKeXe8aQjfdQvDGG5HDEUJjE0jHzpA/bHOpYgATIDl0rAkzsKGV7r4YPT1exs68SX6s\ngqVpVLVRqplRsEHVWvE1bUQPrCHhNDExmuKCWiDrkXBqBswshndlic3xAD0+HTuTYeLyBJem8+xP\neygbV/LfZAnWtAXpaPNS9WVJiARpex7TXuCynVlx31UhE3Ri+OdlfJM1mtJVWgpFWipZfFZ11Xc8\n4/Mw1NFC1hejrEYRchwsP6Zx7T9bDh69QpMvTShYxhc08fgMdE8ZXSujKFcKMRwHSnjJ4yfhRMkT\nIO/4yZl+ivgo4sXkigttWzZ2xcKqWFgVczk3z65a2LUiVjWPbViwdArJQqgVhFZFqBVQDYRSQygG\naPWlUAxQakiyiSRMvDUbvWbjqTl4ajZ61cZTqT/Xag6a6aCYV5aq6aCYIFkqDio2KrbQcISKjQzI\ni45ffVkRCiVRf24JGUcIJNVByE5d58ogFHBkEJJAKCDJIMsOkgySkBCyQJZlZEVBUVUUddE51FQU\nXUHRPSheL6ovgKppqJqGoqrLS0lSELKKEG4jaBeX/zdwxds1GKV6RaniXRmmtB2b+dICLb7mVWJo\nudK0c+V8z3VdYY4encRxoH2xivFqyrlhHKuKL37d8v/9hrQga0I9jGRTBK0SvQEP7deEEh3H4WeH\nRhHAB29dgxb349u6ndKZU1TGLnNSSzKSHWNn8zY2xla24nAsi9lv/h2SZTDUsZf0kQXWXteH7qn/\nYKUSRV75+SCKInHfo5uXq2P9sR2U0qep5Iap5IaRFD/NA59BVlfm4r01l2Hf+AJeWaI37GMoVeC5\nsXk+uqYFIQRvnJrmuy+eB+A3H9m0PBHijz6xkz994hj7R45xWD6DJWrc1LabT274yPIweYDqxDjr\nvrufnokiBa/E/psj3H7PLtoWhVu1YvDeocucOTqF40BPf4wbtgUofudFci8co3b+LNHPPUKxeIxa\neQYQ+OO7CLfdgaKFaeot8dKL5zlaKXPg9GVsRUKTBHe0Rbm1LUJQrX8eC7U7eetcK2+cTlA2ZAQF\ntvUo3HfzZjb3NSEJwUR+ipPz7zGbOU7ZrIdZZamVkGcj9/Vcz56WOMbIJeb3fYf8kffYVqyLv6Iv\nwmG9h7PBfkJdHdwZaEE9mmT0wnny2Qrgw6cI1E6Tcd95EsFJ0h5BTOkkMA2Z0STgQAAUNYqU91J5\n7zLpsSIzbUHmNtSYbi1TkhZdOL9CXFMIFS2qlzMUp4sUTJu3ZcHLjoO5HP4M0hRS2dhRIRoYQ/HP\nU9SKzNhwwjSxjSv2myppBLVOfFmd1gWblmSJ5lSaWOoikrHSTcvqIc76+0h5WyhpESRvCEXWsI2r\nql8NcAwbLZwlFMkQDBVpClnEPCZeqYyQVlbK2o4gY/iZqXSQklpISHFSIkhRUnGu+vt1bKcuysom\nolSDchq7XMOs2FSrDoZx1d+6ZCG0MsJTqi9DVRRPtS7UlAqoVYRcf2+K6RAoWfjL9Vw8f97Gt/jc\nV1l8vWLjrTo4gCHp1BQvNdmLIXuoyV5qVy3Lso4pa5iahiGpyLpAU+vOoaqaq57LioUiWyiKhaKY\nCMXAkiUsWcaUVaqOShWdGhoGCqaj1JfImNSfG45MzZSpmjKGJTDN+iQP0xKLTqPAroBtg2Oz6CTm\nFpcWYOIIk7qyXXQSsRDCqS+xgHo7GSFshABJ1FM4hQBZEsjSUuUxaJKEJstokoIuK4Q8GsKy8cgK\nHk3Fp2tosoZHV/F4NHweD37Ng6bpaLKOKqtuz0GXXxtc8XYNVqn+I6v6Vzpv2WqOmm00zHdbqjRd\nKlZYYl1XhAh1Uda3bvV+pfQZAPzRrSte39G8hZnF5PGbW1aLvuMXE4zPF7hpcyvt8XooNnrvvZTO\nnGL6tRd4dl0CVVL56MAHVu2b/PlzVEZGCN50Mz1b72LmwChHDo1x670DlEs1XvjJaYyaxX2Pbqa5\n7YowE0Lgi+1YztGLdN6Lql9pG+I4DvtnUrwylSKoynxxfSfru2L88RuDHE3k0ID0+TSvn5jG71H4\nyke2sbE3ury/pjmsv3ma5NwxTFuiu7aHx9d/EHVxZJNtGKRfeH45ty106+2Y913P9KWf8p1zP2I8\nN8WG/C6OHLpMpWwSjnrZc/daegfiCCGw/o//k9nnvoERnCGdeB4Ab2Qzkfa7UD1xADJVg0OFIuc2\nBDFsB6lmERrJsVlRuaW/A78ic3okyWtHJzl1KYkDBLwe7tnksD1+lLCWp1Y6ySvDXRxNjzNZqIuj\nkBbkvp697GrZxVBG4dzgBRI/fZazl87iK9TzIeVwmMi99xO6+RbU7l6c07NU3hnHmCsyOHe5fg9k\nQf/GZgY2ttC1JoBVGaOQyVPI5OoD780EtuGwIFTUQD/drbcxa0UYzpUY3lsicZUj6i3mWTs9Rq8q\nCLf1smBGGZoscHG2SNVcDCFaDl4gikO8yaBlrYERyTJRnmSoUh8FR60e/myTJbpNQW8a2rI+9ISN\nOTGEXSkvn9OWJNKRZubivWSD7QhPHGyNSqaGZdbFlwJggylV8UQLhMNF2purNIVLeOTc4g/+FQzb\n4bLtZcaKUVLaqYomSqaPjKNhSRJ46t9Nq2IhMkWUXApRdajVBOWqQ7liXZXH54BaRfIUkb1l9HiJ\ngK+E0IuYShlDMpe+7HhqDsGiRbBoE5q3CJUgVGTxNQPv4hQNB0FV9q7Iv6uoftLeAOVQgKriw5J0\nEBKybKHrNTx6FV2voes1QnoNXS/h0dJ49BqaXkNVLUxkyngo46HkLC7xUXb05dfLjk4VjYqtYhgS\ndtlaDute/XAM66r/tnAsE0dUQdTqYnRR/F2p8L3qNclElk10YaBh4HFMNEx020Y3bDTDQV90D1XT\nQbEcZNNBtgSSpSBsFeEoCFsBRwFHRTh1O9AWMs6Si7joJKJIoEg4at0NrLuEDo4MZcWhKjsUJEAS\nCMlBCOpfUAHIYEsCR5JwZIEjgSMEDgJHCGwhLT9HCBwh1Z9LAoGou5JIIKS6gyhkhFBwJAkhKQhJ\nQVYUVE1BVRUUWUZV1XpIW9NQZQ1FUZAlFUVWUaR6qFuVJTRFclvduPw/whVv12CVl8Tbyvy0X5Xv\nVp2oV4dq14i3sF8jJgSGA01tKxvs2laVcvYCit6E6m1bsW5DdBOvzs0jUWNLdOV+hmnz4/3DCAEf\n3LNm+XXf5q1onV38zBkkV/Pwof4HiXujK/YtnDhOat/PUJqaaPnM52jWPAydmuXUkUk6eyMcfWuM\nXKbCdXt6GNi0csxWKXue1PjPl1tnZKdfwxPoRdEimLbNc2MLHE3kiGoKX9rQSdyjocsSX1jfwV8d\nv8y+Fy5i5Gp0Nfv5yke30Rq94mxezo3znXM/Yr6UoMXbjHN5FxfHJP48dZLf/8hWlLFh5r7/XYy5\nWZRolJbP/QaB7TtoA/51tI1/OPgM4y84LJSHUVSJm+/qZ/vuLuTFFh6VwhjZmQNYGzNIeLEnKhhv\nJZDbAzifMph3ahycTXEimcd2IKwp3N4WpR+Zw2OXGBtN8tXhJBldJlep/yj3tYe4Z3cnN2xsQZYF\nZ+fD7Bt7maH0JBaTSMDWcC+39tzFlvgG7FSK3BvvsOHwO/Qtiv2apnNxw3amN2xnzfZt9NYkzp5L\ncvm5t6mUDQTg1xVsn8rFbAVTLSFXTtGaLTA3OM9SSaim+PAEN5AQ/3d7bx5uyXnXd37epZaz3K27\nb++tpSWrtCFZXhQLWZYt2cjYhtjMgwMOYYaw5JkwMwmEEAJPYCYk7IQBQhJgWAIGAhiDYxvb2JZX\nvGizLEtuVUstdbd6vX1v3+WsVfUu88db597bbW02smU19emnupZTVafOe+qe8z2/tctHzi7z6MCg\nxrtQy32ECPdzLAVXznS4tJuSLvc5+sXHOPhEyT1ihuLQMhDcpTu6muzq7WzdVWCSRR5bepwnRsc4\nIkuO+LCbthH75D6uYyuXjxSdk2cpDj2CWTy7/p6WALMJxWVXMN72IvrpXpZHMYsLgyDU1oA1hxcj\n9Jxj644xu7cVzHf7tOUy3qyec/+VRvL42hwnzXZGyXaqdI6BTln2wYaDAG+CSDP9EdVgGTm0+KFg\n3HeYzZpPWEQ6JE2WmZtZRXfHuE7BOB5h5caOqnRM9yyzi5ZtK5JtA8eWgaHTK9Bl2M8DpWoxiqYY\nRVP04mlOb59jGE1TyDYVEdQ/4JSytNIx7faYqdaY7a0VWu1TpK0xnXRMHNXnXHfttun7DmfYSt+3\nWfUd1mgzNB0qIrz155RZcaU71607HuLKPs5Z0CUiKhFREdy4UQmT9TSsq6gg9WNalaNVhCktfFju\nnbueFo6kEEgX4UmoVEolEyo1FZJCZJ0cohKMjDFK4xJJ1RbIBHTs1pNCtLLnzJWyiMjjIoVTAqcl\nViqMUFRElEQYIiqvKYkofcTYKYoqorSSykoqIzG1tdBYgbUixB5aD5XHO4f3Jd5XgMFTgajwWLw3\nCCyeso45tIBFYYh8hfZhWXtL5CwKi7YW7RzaO7R1KOeJnEM5h3AegUR6AV4gvUJ4iUAinAQvkUhw\nBHHoRX3PiHpRBG+PlAgZSkQJKULcYy1OBbXZUoIQYT9kOE4qgZASKSVKSaSSCCVRKkJrhYgipApJ\nNNHEFa5jdJygoggVR/U8RkcKJUeMhiU6ihBSI4VCysYd/rWmEW/n4cYhnic+z/K2MAx9S7c/iXgb\nPPQFRByTXnpuHbSFE2soD0t4Ti0N2TO/IcSGKwfw3tDZcu2XBAwf7GmkSBkWd3N6uIU93Y2otPff\ndZSF5RGvfdledm9qci+k5MS33kS++jF29xW373vVOecsT53i1O/8FiKK2P3P/09UOxx7+7dcxV/+\n4X184K8ewllPdu0Obrzl0nNf39kHWTryVwipmN//jyhHp1k5/kEWHv0j2pf8E/7k8CpPDMbsaSd8\n14t2MxNv3FaHjqxw7FMnqMaGdGeba2++aL0USGUr3n/kTv7myEdw3nHbvlv4lv2vx79U8jt/fYAD\nDx7mkz/1Xi5fPgRCMHvba9n65m9bj21bPN3jvo+fZvbQlYBnedsTnL3oMV6057UItZeif5SVkx+j\n6G9k9M7sehVib8Kpg7/HY2eWeffH7+HoxVeAEMynMbfumuO6LVMoAYdOrLE4HfMFBcZ6xNiwXUlu\nvX4Xt996GUtmib8+8jfcdeo+VoogNna2tnJ9q8OL7CLtwWn4wJ9x9LGC6ujJ8D5pTfelL2PqxldQ\n7L+S/KHT9B9d4uCfP8yjde21pB1x9Q272X/FNubnB4zXHmWwkmOLhfVxPd1rc3q4i+72q0m3XczR\nUckjq0MGxrJe1s6dZVQcoewtofspB0Z7+fRSRFE6IAI9z/auZh9nSMYPYdMlzmwT3Kci7NLGPbmt\nvYUr2MH2o5bWoRXiUwtMje9H1XF5A8AnLdxVL2U4v59V1WZp6FheAVsoOA5QIOWIHTsG7Nptmdti\niOI1sIsov6mGnINl0+WkvIq+3slQzrFqU84YT1Xrfe89dmgxvRHVaokYGfzYMh5Wm+rXedAVstVD\n7jhL3F0jbhfIuKRi4/lK42nX2aw7Fyu2rRhmRtAeO3Q1EWiCse4wiqZYi6Y5PrOVQTxLEXepVMqk\noZgQjlZa0GqNmWsPmZ5apNMe0mqVJElFpIPl03pJvxZmq0xz1O9h2U/Tq7oMSRmTYC1BmE1i7cYW\nWxjsqMSNh9jShWxfVQW3bTwOU1Qg0nFw6UYjRDyGyCCdX3fhTty53bOOztDSHTm6w/CYNoJCtyl1\nq7YYtinreaHaLKuEhVaKm9HolieJg4UwjiviKLhtu1FFHBuiqI+KVzGRwuiIwseMSdYTPQa+TVGv\nj1zEyMaMqohxJYNLdlgngJiJhXCybENdSV+AKIDeOZZBtAnWQWWQsiJxFS1bktqK1FYkxpAYG6yB\nlV+fR8ahKo22EcJGSKeRbsMq6ITGyggrNVakOK0hURBJiCUyEhCDjEVILtEglEdpkMoiFDgV2vd5\nJfEKnJJhEgInFUYqHBIrJJULk3GSyqqwbBXGCYyTQZg6ibWi3uZxzuG9xWNx3uKFxXsb/rBwOBw4\nG3zdpcNTotwI5SuUC4JUOYvyFu0MyluUd2jnkM4jcEjvw3JdclEiEF4iPQgvgqGzXhaeIFqZmEBr\noSkmlkyBEBIpfNhWu8wl9bKsj1gXrbU4FSCUrM8j8UIipArnUrJ2uSukEiitUEoHq6eO6kmhdcj+\n1jqIU6FiVKRQOkbHMTqOiJRG6zrWU01E6tdH9ncj3s6nCJaKdOpci9fCU1jeyjMLlCemnUN0AAAg\nAElEQVRO0LnuemR8buD+448EwbeC55Fjq+vizXtPb+HTgKAzd905x/QqwydPLZMqz2r5IH9zBL7n\nmrcBsLgy4r2fOsx0J+bNrzxPKA4X+cvBXWgneO1HFhjuuIfpf/AKAMzKMsf+31/CjUbs/N7vJ73o\n4vXjtsx3mJ5tsbo8Ikk1r3zd5es3pveetdN/y+rJOxEyZv6y7yTtXkw6tR9XDXjk9MP8zRePMPAp\nL946xVsu2b5eSHgwrnj7n9zHnfc8gVaCt772ch5NPfev9Ok9cpzrZ1d592PvYXG0xFwyy3df/Vau\nmLscAFuOeKvPWTz2fqSpOJFsY/y6t3D7m25Cacny0pC7P/H4ekur3ftmeMVrLuMJOcufHnyUex97\nD+3TH2VnbUVJp/Yzs/NWku4+Suu4f9DjM6//Dk6NSgC2nT7Oix95gBdfdxXRxTfz0fuO8bHPn+D4\nmRCDNj+bcss37GK2cjz04OPcc/xT3PnBdzBsB8HW0im37LmJm3a9jN22Q//ee1n77BmKx+t6fQLk\nvi6dl11P52Vv4MRpyecPLvLEnfdirScF4m5Mf1tCf5tkfmYZEd2LWTvOwsqwPocinboM3b2cu89s\n5e6iZDX2RDaGY8HFngjBdbMd9qUtlo6tcvh4yoGj8xRlcNn3AJH06exZZtcez8ysY6U6y4HBaULk\nVYLwsHPJcMXjI/YulMwOIWIZXz28fs94IRht389Cay+n/RxD1cEJDZWAOoxOa9iz17J9e4/p7iKx\nPosUYzZ/5lWVYkXOsxrtZVnu5JRps1gpivA9g69qS9pgiB8YGBn80DDslRgziXFziHSESAfI+T5x\na0DUHSGSPlaG91daz/TAMnfGMrtmme1Z5nqG2Z5jamjrs8jaeraVlWiKkzNTjKLpelsXLxTgSZKS\ndqu2nLXPrGextlpjWmmBEKGrRI8Ofd/hNPP0fCeINdOhR5uBS4OVbJMwC0LNYMer2LHFGxti6Cai\nLK6TILaMUfEYPRFswpKWvhZfQYh1lh3dkaUzdGF9FKxk1boIm6bUbQrdolBtFnWL47Ntim0pqqXW\nXbZJUpLEJe2kZEtSkiRnSOISnRhKFdeu2ZQhYVr10+tu3KFP6ZuEolS4QW0VrK2DrqrnpcWVBkcB\nrAbLoK4tghPrYC3IdFTQNgVtW5KainZt/UtLT1I6kqqelwJVxUgbIVyM8MHyV6mpYAGUUW0JjCDR\niFQiEonoCkhARgYVVXWsYIgX1MoitcVrGayAWmKUphQxBVHtmk4YuZihiRhVEYXVlEZSWomprYCu\n8viRx1kL1uB9ifNVyDimwvsquKupM46VQciK2FckriDxFZEzRN4QOUvL2bBuHZGzdTKLQlmJMgpl\nNdIqlFMIpxBe1a7p4I5GKUSk8LoWoFqGUlM6JLAIJZARCO2D8Kzd1V6HyUmBV2HuZHAxeymx9d9T\n5YO4rLzEeonxEutEPZcYJ7BOUjlwVmBwOBdEp/Me5x3OO7z3wSKKx/vJh4NF+CqIS2eR3qCqEu0t\nwlu0s0hvUc6hvAv7OF+LUFBuIjJlEJnUYhNRW0gnts9agApRGzZDHKaQYZsQ9bG18ETK+sDaGxDS\nwoNulXJju6i3ravV4L5H1i78IJP5wR/8QZ6KRrydh1o8jUMwt/tct+Hp0ZPXeBt8/n4AOtffcM52\n7z2PP7KI0pI14/jCY0u8+obgVh2tHKAan6Gz5Xp0cm5M20dOnKV0nm+9aDt3mnnuPf153nTpHcwl\nc/zmux+iNI7/9fWX00433rphNeK/PfD7DM2I79h3B1vG/4OFt/930osvQXW7HPuVX8YsLrL1H76F\n6ZtuXj9uPKp4/zsfZHV5RKsTMRpUfOjdD3PHW65BYDj7xHsZLn8BFU0zf9l3ErdCxqfznvvFS/iQ\nvQiP5xv1F3ndzlesC7f7H13kD97/MCv9kot3TPG9b7yKvdu7FNbxBwdzHjj9Lu47fgSB4DX7Xskb\nL/0mWjrFVRWrH/8oZ9/zP7G9HtHMDOaWO3jv8SmWHi74zInPcO1MizNPBNE0v3OKf3Drpey9ZC5Y\nMc96/sXWeVx5FrA8XhlOxru5ddfr6Kk5PnQ0uHbH1iEFfMNclxvn2rSfeIDPHTvL7y4e5eBdYIRC\nScHLrtzOrS/ezUW7Yx5cPMDnznyBA1cfDL9evWBqeTtblvfwsu4+Lj+zjHjX23n8kYPB7yUErSuv\nonX9NazOeI4eX2bh2DTLDx7E1wVqt2xrc2m2lYsvsST6JONeTjE4hsCDh5FLOOz2sxS/CJ/uZmgE\nx46PQyeH2YhUQNvA8uE1zp7o4UrHkfPu522zCddcCe2tayzyOCdHxyldxXHg+ArgPXuHCVcPuly+\nGtM+tUx1fDH8Mie4BYc6pdfZzVq6lX53N2vJFiq3EfgdRRU7t/Xodnu0W2vMTPXpdEbrQs16yQoz\nrOkrOCvmWDIpizZlzbfACnzpsSODGZSoYYEcG8qBo79WbljSVBUEWmuAumhEuzNEJQOs7OEJrqnu\n0DHXs8wctcyuCObWHLP9iplRicRjhF4XZMNoisMzM/S2T1HoKRzt+rWYdUE20x6zp3WKbjqklY6I\n2wYhYURai7M2S8xx2Hfo+Sl6VYc+LQqr1jNT7cicY0Hz42VMUbsx4zEiGYfkh3iMmBmjt4+IkjHo\nEm1rQVZbxbormyxlI+gMHekYrEwpVItST1OoidWszYpucXqqjdmWoFusW8nSWpjNxCVJMiJJVlGJ\nwUWKkQiCbFSXSun5KYa1SBvYmH6ZUKwpXGmx60JsIsYcrqxwro9nqc6yLWoxVm2Is7Sg5ca03Yi2\nqTZcs4WjNXS0xmE9LgRRFaFsDL52w8oulUooVRoSOKIEWhrTltgtkiIWRLUFcDKlUcWUDstEDheV\nWK0ofHxO+Zexi1mqphiamKHRjKuIcaUoS0lp5LrlzxuLcwXeFXgKvC+BtVpomjBXBnSFEhWpH5O6\n2upnDYmtarEZCkhHhScxEl0pIqORNkIajXQR+AgnI4xMMXIaoyJ8rCDWkASLn4glIgatHVpblDYQ\nAZGASOC0wGuBUzIkrUiFEZrSR4yMprSawihKqyiq4HKubO12tgLjwDoHVREKg/taaGKA4GpGjMEb\ntKuIXEXiSiJfETlL5A3aG7SzRN7SsrZ2KwuUA+Uk2sn6NUukq93KteCUQiKlQtTuXqHCstcCoWXI\nZlESoWPQAqdVLTJFiG3UdYyjkngp8FJghcROBCYK4+WG0HQS60UtLgXOCSoH1nmMC9ZL5zyWIC7D\nv5B847ythaVF2QrlDcraYNV0VbBmug1xqWtRqTwoD9J5ZG3FfIqOg+s04m0Tw7U+c2unWJ7azpWz\n52ZRLgzOMBV3aelz3akT8da9/vpzth9+ZInVsyNedPV2Tp0dcP8ji5xYHLBra5vVUx8HBNM7bznn\nmENrQz67sMrWJOLl8zNEvIbffeiPeeej72F64SYOHV/jFVfv4BXXbLSxKm3Jbz/4h5weLnDbvlu4\n5UW3s/bdKad+57c5/mu/AlJQnTrF7G23s+VN37p+3PLSgPe9Iwi3/dk8r3lDxgf+8iGOPLrEx97z\nSa580YOYYpG4vYdt+9+KrrNKTw4L/urwAk8MxkxFmm+eXWTL8udZOPgQg9Zref8DCQ8cWkJJwT/5\n5qu45dodaCVZGi3zgSN38oVT92C9RaudpMnNOHUx5aBk9KkPs/yhD2JXV5BpytY3fxtzr7sDoojv\nPXCGj33kEG6t5MxaiYsVL7v5Ym68cR/V6DTLx97HYPkLoY2SkHS2XMegcyn3HrmbJ3qK+77wCFqF\nMetGitt2bOFlW6c5earHJ+46wb1H5xnMBzfznOlx/cpBLhPHWN5/EX9zXPHY46dwPoiZi6b2cuP2\nF3PVSpezBz5Hld9Fa/SBdUec2XERnZe/gvLiqzl0quDowSUGvRII4zc3N2Tv7ifYMb9EklgQgmIx\n2B5AoFp7WE0znvA7+WJPslQYfAEU4RmkcUzV3QRGKwWHT/UoykmclkclBb69guyuIjsrDLtrHJC2\n9m16do1irhptYetSQXp6he6pVeI6q9MhWEpnObv3GorZfVTJdlZHinFdaFgIR7czYnd6lC3tZaan\nBrS2elQrfMpYL1llilN+J2eqeRbKGVZEh1GUhl+U1USkVfiBQY2XMYOSfq8KWlG40GEhHaDafTrz\nPXR7hIlGVKJEOM/U0DHbs8wcM8z2YLYvmO0ZpnsFyrlz4s+G0RRPzM5xYH6ase7gZYxShnYruDbb\nrTHb2gPanSVa7RGtZIyUngHt2lrW4TTbOOQ7rPpgSeuXLUzFue7MsQnlREZ93HgFJ0xtKRttCLTO\nGDEXrGaxHtEuTRBkEzfmSm0lGzqmR5Z0LPFuk+uyFmSFbtFXbZZaKX5rTNTy6xayibWsm5QkcQ+d\nLOMSFaxktYVsRMpZPxvEmUvom4RBGVOsyQ3rWOU2CbIK58Z4vwiy+BLLmFAlOimY0kNaaUnblLUQ\n86SFo7Ua4uTSQhJVEdJESBcKJFdq63qsXKkSaEWQKMyMpJ9KdOKI6+zZKK6II0MnrhCRx9eFkytp\nzhNgEStVm4GJGVYR40ozrhTFSFKZ2vplLM6WOF/gfRFi23wJcli3W6tFmCyJRUniCqZrQZK4itRb\nYhO6eIQOHgJdarQJU7D6hWQMREQlZzAywsfh9flYIeJaeE0J5FZQ2iO1RcRABE4LrA7xfk4JnFJY\nJanQjGzE2ESMbcS4zgYujQrxfkZirMQNDd6V9VThqUKMHxVQgBgAFZEvg+PaBwtf7Eo6zhDXk7aG\n2AgiI4msQlUa5RSytuptJJsopNb4SEOk8VECkULEtcCKQdRi0tdzFGFZCVwtrpySWCEovaTymsKp\nIC5tEJelVSGm0SoqC9ZarLdYZ3HO4jFBWBYGSgMYhDcoVxC5Eu2DuIxsEJRxLaQmFszYgXYCbUUt\nogTSyiAifW29dLJ2yUqUrGMIpUCqjQkd3ONOh/fb6jgsK4HXCitlLSYlRkosAkOwThovsD6MwdPR\niLdNPPbZzxPjsRed23qpV/ZZGi9z2ewl52y3wyHDgznJxZegZzeSA7z33P3JxxECXnrzxWxZGvKf\n3/kF/vozR/iOmwqq8QLtuevOydYcVJY/f+wUAvj2/TtQUnDD9ut40fHPcN9Da1RHjrFra5vvfv1G\nD86RGfNfP/97HFp9nOu2XcNbLn8jANM33Uz/gQfo3/1ZAGZe/Rrmv+Mfr9c3++L9J/nUnY9iKsdL\nbrqIG191KUII7nhzxuc/8VfMb3kEU3ii7g3suOwNCKnoVYaPnDjLXQurOOAbtnT5hxdvp633c1S2\needHD/D5Ez2gzxV7OnzX66/hhqt38eDhQ3z4iY/z6ZP34LxjvrWVN176TezuXskH73sI/Z6/5NiB\nzxFVJSJNmbvj9cy9/g0MjOauTx8nf/AUw37t3tw9zVFjOL62SPL4R0ncMlvSYIVT0RSdbS+HmZfw\n6FDwxbMDlv2ttFIAT2WOUY4PYgeazz6yn3efVPSGIflgthvz2pfvZs/FJcumzxePjfisTIDTUMCu\nFc9Ly+1cyTzJw32G+Z+yNhiggSiKqC6/jsPRxRwrprEygoeBhw8DkKSCa1+s2L17RKe1hBkfx5nh\n+vvedy1O+62c9ttYkLs505vC9gTgcMYwVUI8tqwsDTm7NKJYL1rrEcmQ1rYRO7eNaU0N6Psz9E1o\n76aNZ8uKYUuumV+E7Ssl2wcDYhdec6FS+vEcCzuuoDe1g2XRZlTF4CVCeNpixFR8hj3b15iZHTLb\nLUj1CIGn9JpVpjjp93G2nGK5N8WymGEtngmxO4XFDEP5DT8qEKMBZa9iPDJBoMXjjTZY0wNaO4eI\n1hAbDVDOMTWwzPQts6eDi3Nb3zLbt7T7Fuc146jLWM+si7Sj3VmGW2YYqxQd+SDM6tiz+daYi1on\naLcL0nSMUZo+bQa+TZ82p/w8fdqs+Q5rts1oHAeL0sRaVkwEmsWOV3HmdF3D7TyXZneMjoZ0/JB2\naYK1bOzo9B2dxWBBaw8drXGENAmValGux5OFEiEj3WLQiVmY10QtTzwRZHFFq7aUqWSAi0eYSDIW\n6Xpm6ZqfYkRwVfbLhEEZUfQkbul8V2WFcyM8A7wP1rH1ZAZdIlVBKka09Zi2LGirTZaxkSMdO5JC\nE1cRykRIG+NEQiVnNhIUogSfakSqEDOSKhX42GHPKWdiiWOBi+uEBO0pgTGKwsUMXUy/2hBgo0pT\nlJJqILGVxxmDtyHuzbtg/QoZssM6G7ZCiipEEPqCriuJXUVqS1JriCtPXDiSShIZja40yuja1VgL\nLx9jZYKLpyDW+ERBHAQJsURMh3p5MgJi8BFQi65g6QqCy0hF6RVjEzEyEWOrKUxwq4YyLJLSCKwz\n+EEtslxVW/Q23KnCl0SuIPElsQ+WrSAmK6ZdRWxtcKFagTYSbTXKKpTRwZplNdIrJBqhFVIriBTE\nbXykEFFtxYrD5KJgwSKaWLDEugXLSsEYSekVlZdUTlHYkDBSWkVlJKWTVNZiaouV9SH+zpcVvqhC\nz2hfoW2BciVRPenaNRz7Cu1C7F3sPK2JsHIE17CXKKtqa51ECY2UClknZ8hNyRkhQ1nhoxibBFfx\nxELnlMRpBSq8PkOYLIoCQVW7fI0TGK+Chc4JKhtioY33GO+wzmO9C25f6tfq65I5zkJh1pNffD1H\nWoSwdfCgRUyKc8t6G299Sr3SiLdNrHzhQbYDc9edW7rjk8c/g8fz4vlzOxX0P3cvWEv3+hefs/2x\nfJGlhQFXXLODua0dZra02bOtw2NHHuPs3gcQKmF216vX9y+s448PnWStstyxdysXdYN1TwrJ/uJ2\nHjjyBCIqeP1t20nrZIAT/VP87kN/xMnBaW7Yfh3fc/V3IoUM7aLe/9f07717/fzDhx6ieOIo/XQb\nf/vhRzlxdIUk1dz2xiu57MrteGfpn32A1ZMfZce2Hsa2ufue/ZxdnuaKVxymv6/LvWd7lM6zNYn4\nlovnuXy6zaPHVrnzvmPc8/AZnN/KrtmK2/bnXLR1hYdP3c9fHCs5uPwEENzNr7/4dm5oX8bg3ntY\n+9Qv8I2HQyLBqN3l8y95JYcvuY69VYT+85zVhRBvFieaa1+yi+xqTaJPMlp9mHIYAqucgwMLW3lg\n7TL09kuQJmXh+Jn10g/bk4i9XsFaxcNHUh4/cTk9JziDh6jH9KVn2L3XIZMRd/VPUB0Nwij2gpeP\n5slOw5b8BGJpGThDBYyFYtDdwfCKGxlsvYQVm7JydgQVCOWYmRqwZeuATrrK9HSf6akBSjmcESz0\nuiyyl9VoH4tijjNVTN96vPe4scX0C6LeaXx/zLjv6Y00C5vKVyQzI+b3j7HpKmOxjMegK0e6Zpk7\nYbh8VbC9L9m2WtFaG2CFqi1Q0wzinXxx5zxreoZKd0AqWmlBuz2i0xlxSWeZ6emSbmcUOk2IINBW\nfZfj7OFB3+Ws6dLzXUqbBEvTRNgMDW5Y4QcnKccGV7sEZTIKIq09Qs0N6KQjlBgxPbRMDSzTA8vU\nykSsOboDjzIxRdRhrGcodIeR7rAUdTk+18HuTtApJElBmpSkacFMUrKzdZakdRJSQaEShj6trWdd\nTrGdnm+zZtv0hjFVETI017M0i/p1mD7eLyB0sRH4X4u0aHpItzuiY8e0y02121Yd7ZGlNdZEZYSu\nYoxqnSPIyqiFTWPWZjW9nYo4MedaymLLVAo+KrCxYSyS9ViyFT9D38YMyoRBFTOqNGaNjXixyuLM\nGGfHtQtvKVjHoiDItBqT+hEdX5C6gpSSVFa0jKc1diQFJIUmqiKiSiNtjHBBWFZqBhvH+DQOQiyR\nMKuQiYDI4iIDscfEHhEJRCTQkURqiZSawscMTJhGRjOq4g0rUakwQ4czJd6WIfnAlXgfypN4hkhZ\nktTCK/G19ctXweVoK2JjSaoguqIqxHcpEyGcCpYvNEJrfNyGeDoIryi4GIkEoiXwicLHYl10eS2w\nWlIpsS64ilp0FUYztorCaCqjKKygsp7KWZypoKpC/JqfuBVLtBsRuTGRCxatmIrYBQtX1xq0c8RW\nBEFiJNqqIEZsSJSQXqKkRunaVahri13UAt2BSGBbuhYlEhup8DrWLVmCCknhFWUtQEqnKJ2urViC\nykDpPJV3WBdizoLIMnhTIYoS7UoiW6JsEaxWkwlDZA2R82gHbQdTTqCcRK3PVXgddUaqXrdU1eIq\nqi1uicLGHbyeDlnGkawtVcHV64TAiFpEIRhPBFXt7ixdcO+WLvT8Nt4HMYXDOYediCkM1BnFVAZf\n2XVBhQiTkHZdPAm5IawQ9bquhdYz5CxM0jS+LFxI/sBLpH/6DN7nTbxlWXY78G3AaYA8z//9eY8n\nwC8RctUuB34+z/NH6sf+MXADYIDH8jz/refimtTRQ1gk+2/cEGOVM3zs+Kdo6ZSbdm00fjerqyz+\n+Z8hooipV2w0bO+vjfnUnY+uW90gBDa+6RXbiFc+Bt7Q3fXm9Vi3fmX4g0dOcGxQcM1ch1t2Bgte\nf1TxRx88yGe/eJpuW+Euv4c/PfJRRuoOnPe8/8iHqZzh1r03879c/iakh949d7H4zr+gWjiNnptj\nx/f+AMMDX+Twhz7Nfb/9ERa6lwCCiy7bwq13XEGalqye+iT9xbuxVQ8hNNM7Xkk6fxNH2ss8cuws\nH0wsLK6ROLh9fpqLk5R77jnBbz68wHIvOPv2znd59Y1biLcs8dDpiPesDih9aPu1P2rxSrePS060\nKT78Xg4ffjzEhEmJuvalDC97KWfVHOPDK8zdu8IAQDq6+yr2XGLYt6VHWn2a8ZkRY2DsE1ZaN3BW\nX8qRcYcn5gxuS7B2mpUh5cII1a/QpeNAr+QB60LLodaAbZcUdLf16atT9O0alfcsLoc4qatXLPvW\nJLuWHa2l8EU+jrosxrMMd13OqDNPz4fK/EJCpz2iIxfYPtUj2zdgeqYgSsdUBNfhip/mEX8Jy24L\nS9U0PdHCGIKrbWgwwyF+sIofGcpRiVPjDYtUOiTa22eq3QM1olUYpvvBGjVzMAidrUNPt+9xJmGs\nu4x1h3HUpae7nJqZptjeQbVFyH5MC9JWwe50zGXpCnHb4BLBULRCID1tlv0sPd9iteywOkypKhEs\nUOuuwQpbFjizDHJ8jtWJqCCaGzI9O6BTjelOitD2HJ0FR2sEcRkTlQmec8WNTVOKVsTCFsWZVBHH\nJrSsSkvaiaGdAskQF48oRMKoblW14KboVQm9ImZYxYxX5CYLk8HZUR2XNDxH1EhZkIgRLcakrrYu\n6ZK2daQFpD1JXGqiUqNNvG5ZKlUXmyT4NMYlOgS7b5X4FKrY4CJLmfhgsYgFKgotq6SKGNqYvkkY\nmpiRiRhVmnGlQ3zR2OPOFmCDgFkXMfTwLBJTkIgxiR/ToSSxJakLQfupccSlIi4VUaXRJgrxUjYC\noZE6wifT+ETjovDF72OF6Aj8VgWJQISwKsqIYC2SgkpKCl9nf9pN7rlKMzaC0tSxP4MK3yvWS254\nX6BdQWRXiW1wOca+rAPuK6asJXIQW4iMILIhzktZHSwpQiNl6MYgtcJHGh8nEEtIJC4J1i8XKXws\ng9tNhximSsLIB8FVoimdpLQRhQ1Cq7BQWUflwhe7cwZvDL4s0a5AmXEQKS6IFe0rIl9bs3xwp7Wt\nR9diSzmBsgrtBVqoILKkRAq1HpflI4WLY3zcwsV63ZLldV0CRdWCRASRNZ5YsXyIxaocFE5QuVAo\nu3Ie6xzGO7ytUNagbIEuSpSr6piqCmUnFitLBGjnUc6jPXScYNpBhEALgUKia2GlaouVkAIfRTgV\n3gMXaVzcxusuLgouPytluHYpcQgswd03RlARrtl6T+nB+nDtYdyDlSokI3i8tyGGGBNi5zBgC7yz\niGJDUFELKiHdlworXa9/NcSUF3Wih0SgED4Gp8Cq0JLEK7zXeK/wXoHTeCdDXLMHfPhuCn2gQ6JF\nSMAIBasjF1y3iSuJrSHxhsQaYjcmtvZpL03485sSfg3IsqwFPABclee5ybLsHcBv5Hn+kU37/BvA\n5nn+S1mWXQv8lzzPX5Vl2R7gPXme31DvdxfwnXmeH3qGp/VnzvSe8sH+2VWO/ei/5OzMLr7xl39m\nfftnTt7DHx74M26/6FXrRW+995z4jV9jcP/nmP9H3xliswjC7V1/fD9rK2NufNWlvPQbL8Z7z3jt\nUZaOvgtnhnzisb082vsG/ukbr+KYM3zo+BIj63jJtinecskOBsOKj95/nA/fe4zesOKy3dN8/7de\nw9HiIH904M8pXXAhJirhbVd8G9cWc/Tvv4+1T30Sc/YsKMX0rbdhX347J06POfTwAsuLwU03YxfI\nxBfYcfUUYm+CVcHlWIo2vakbWYov5/jIc2htFP7QjCPtG6pDq4xWxvQJahlpSKYG7N1nmd4+YtWf\n4eTgFHEZ4pEuGiVc2U/YurACp9YwVjOOOgySWYbbdjOc3kVfzDAcVrTSgk5nxPT0iO07LO3OAC/W\nGJEw8G3W6LLgt7DINtZsl2FRl1AYGcywQo0dblQyHPfwus7Ii0fI1iBkVooeU2a0Hk/UHVpm+56t\ng5hkIDA+Zqy7FFGw8pStNtVUikgj4tiR1uInbpWItke2BEZLxgQLyZrtsGJarBUt1sqE0qrgNhwb\nXFlgzQhvRng/BhXcU5Ea0hJ190w/omUL2oWnPXS0x4p0rIlri4i0CaVOMWmKSxNcK8InGp9oVCrQ\nqUUmDpF6RO268ZGkkppeldIzKYMqYVBFIRPOKIzxODPGmwJni1rkVOBGwdohRiQUwepBQWJKUuto\nlZK4UMSVClltJgpfujJGxDEujfBxKJ/gEoVPNDbREIsQyxMDGqwSVEJRIRnZmKGNGdtwbeNKUFhP\naRzWVXXMTvhAj+wYbUfEtiD2BVHtPoqdJfaeyEE0EQZGoY0iQqKp0/yVRqj6y669h/gAAA0GSURB\nVD/R2CTGxRoba3ws1wWBkeCEpBSSCknpNZVTjJ0MQsB5SgvGeyrrsNYiXYGsSrQt0CYIAu1KtC2J\nsLV1whH58GUa1e6fGBm+SJFoqZBC11/+OnyBxhobR+FLU2tsne1ohaq/QEXdq0BQAZX3lC58gZYW\nKgfGO4y1CGOQVYW0BmXL8EVvijqI2tVf+J7IuyBOvCMSIoTvCEEkJNqDFipk1+ko9NGKIpwMFiCn\nNVYrTO0utEpi6mu1gPHha9pMwt19+Ewx1uGsI9RIMQhjEdYgXLhu5RzaGpR1dSkLj/Qe5RyR8EQE\nb18daoSqa6MJpUIJCalAK5CqjjlSWKFD8L4McycnYgqsCNdlpafy1NceBAfWBjeYteAdwhiEceFa\nrUVZj3Ch1ptyDukdyodGZuHaQEsf4uwJPWpDPTZV13ILmaAhI1GH8iFC4aQOgfZCros+KwVGeKwI\nlems8DgRBJMVHuvB1bmazntcPbc+dA3y+HruNokKt+HWE5u6Y6xbpuqeu9LVommzoDq308lzjXci\niKa6Pp73dV28ehKTEiY+CFbpJ/d1yMiNrSE2lrhyIZav/izTRhFVYa4qTWQ1qtIgIqwMIpZY1Qki\nIribo1AkWmiJiEBqj1Q+uJl1iFsMJWE2kkWc3Jgqr+ofF7rOTq7j+iYJI0byOz/wuqfUm8+XeLsN\n+Ld5nr+uXv8hYE+e5z+yaZ+P1/v8bb2+AuwlOIFvyvP8++vtvwo8kuf5f3665/zJn/3Z9RcqznvJ\nyln2nTrDFU8c4+C+PTxy8T4kAl//FvAuFPbGEaR7SAYMKr7+z3t/XkPsZ8v5743f2H7+hYYsY76c\nP4/J2f0k9/m8R8TksS+5DTaOfLbPcT7nH7m+nxDrj33lZ3/mI/zmtfUnOmfrlxz3Zf01PMlJ/Fdw\nvevHnnfoU90Zz+JMT3qScDuJzSvP9izPwNO95sl4iycZ4Ke8Q75kHy/El/fmPIvb15//4FdSu+kr\nf5M2HfMkz7tp07M+pVj/VDrvggRi8+fK+v/+nL+GydFP9hfiN42nEB68x4d39bynC5nWYV4fKMJ2\nuXnn88Y6fK6FUg3rH7OTz9b6yjYZM1i/HbxfvzYvfPhCx597rAjzzeMYHvcb5xSTT8JwMrdpf1cP\nzCT/+vx/bFoKy65+LzYeRzzVsoNN28/ZJja2B8FUPyYc4plSEb+aOAFegpN1VqjYmDtZexlFiEOz\nYTn8GJDB2ucFWoSOEpEQaCmIlUArQSRF7VoFreosU13PhYQ62N+JIIBs/SMwCKFaBFmFsXWZljpr\n1lqJsYSaeDa4iL1f/wkRloUJLm8MQli8CMkOkwxa7Sq03yjVor0N684S1T9+lJ1k0crww7bOnpVO\nIq1CuonFLiRBCBli8qRWSC0ROmTHCi0QWvC2n/yRp/xQer7cptsJZacmrBHcoM+0z/an2f603PGZ\ne57Vhd131ZDT2x57Vvs2NDQ0NDQ8G8RTLPugHqHuriAmRW03zYXTQF2TbL02Wb2MqIvj1nXK6v8l\noq5PFrYEa+SkX6wAIes+3aEdGULivcLVrkBXLzurcU7jXAjW93UsmV2vw2bxdcmMEFdW2/rq4sBe\nGrSo0DbUqdO+QttQOmRSg01NarJNprq4r3KhZIZyk/IZoQ6b8BJZi0blJRroEKyWUoj1RIWQBSoR\nKlg4hRLBOlYXCXZKwqRQspJ4peq5wMoEr9p4GWrZWSHxEKyfk6xQQmaodYKyzhJ1XtZzga0t3w6P\nmdSvm1hBJ+7jWvBPxlJZg/IGaQ1ve5r76fkSbwvA9Kb16XrbZk4zqa9w7j4LwGXnbX/kmZ7w5nf9\nxbP6WX3zM+/S0NDQ0NDQ0PC88ZX4+Z4LPg1clGVZVK/fDLw3y7K5LMsmgu29wE0AWZZ9A/D5PM/7\nwAeAl246103A+742l93Q0NDQ0NDQ8PzyvMS8wXq26bcTLGlVnuc/nWXZzwNLeZ7/QpZlKfCLwCmC\npe1n8jx/tD72bcDLCTGlB/M8/+3n5UU0NDQ0NDQ0NHyNed7EW0NDQ0NDQ0NDw5fP8+U2bWhoaGho\naGho+ApoxFtDQ0NDQ0NDwwuIRrw1NDQ0NDQ0NLyAaMRbQ0NDQ0NDQ8MLiAu+Mf0z9VBteO7IsuzT\nwIhQg9Lkef66LMvmgJ8DHiP0qP3xPM/PPI+X+YImy7IdwH8Ars/z/MZ621OOcZZlP0KohTgLfDDP\n83c/Lxf+Aucpxv2ngFs37fYf8zz/cP1YM+5/B7Is208Y73uBfYQqBD/d3OtfXZ5m3Jt7/euMC1q8\n1T1U/xubeqhmWfaazT1UG55T3vck4vhnCH/Q78iy7E3ALwPf/bW/tAuGm4F3Addv2vakY5xl2Y3A\nq/M8f1OWZQo4kGXZR/M8f+omvw1PxZONu8/z/Lbzd2zG/TlhC/AnEyGQZdlDWZa9B/gBmnv9q8lT\njXtzr3+dcaG7TW8CDud5bur1vwXe+Dxez4XOdVmW/essy34qy7I31NveSCjKDM34/53J8/ydnNse\nDr50jCdj/6bJ9jzPLXCAc389NzxLnmLcRZZlP55l2b/KsuxH6x+L0Iz735k8z+85z4IjgAHNvf5V\n5WnGvbnXv8640MXbV9QHteEr5ufyPP9F4KeBH8+y7BZgno33YA2YzbLsQr/vvtZsvs/XgLl6jJv7\n/6vLnwG/kuf5LxPG+dfr7c24P4dkWfZm4AN5nh+kude/Zpw37s29/nXGhf4l+mx6qDY8R+R5fk89\nd8AngNcQxnvS8mwaWK4fb3ju2NwHePMYbx77yWPN/f8ckef5gTzPR/XqnYT7HZpxf87IsuzVBLfc\nD9Wbmnv9a8D5497c619/XOji7Ul7qD6P13PBkgX+6aZNLwIeZVOPWprxfy4Rm5Y3j/Er2Rjjzf2B\nI+BK4ONfqwu8QFkf9yzLfmHT9iuAQ/VyM+7PAVmWvRG4I8/zf5ll2a4sy15Bc69/1XmycW/u9a8/\nLvj2WE/WQ/V5vqQLkizLdhFM6Z8DZgCd5/kPb8oOOwrsB36syTb9ysmy7FWEhI87gP9KCNhu8xRj\nnGXZvyIEIc8SEkre83xc9wudJxn3/wT8O8LYnwGuBX5yU//lZtz/DmRZ9hLgY8DdBMHcBn4D+J/A\nz9Pc618VnmbcM5p7/euKC168NTQ0NDQ0NDRcSFzobtOGhoaGhoaGhguKRrw1NDQ0NDQ0NLyAaMRb\nQ0NDQ0NDQ8MLiEa8NTQ0NDQ0NDS8gGjEW0NDQ0NDQ0PDC4hGvDU0NDQ0NDQ0vIBoxFtDQ8MFQ5Zl\nn8iy7Oov85h/lmXZ8bqW23NxDb+SZdlz3kUky7J9WZa9K8uyO5/rczc0NLywaMRbQ0PDhcTbCM2x\nnzV5nv8mkD9XF1C3FHrOC2jmef4EoThwQ0PD33P0830BDQ0NDc8FWZZ9G/AfgJ/LsuwdwAeAvcAf\nALcTGmi/Kc9zm2XZbuD3CBXjF4B003nmCFX8zwA7gU/kef77WZb9e+DfAj9G6N37duD38jz/2We4\nruuAHwaOA5cAv0po4P1HgAV+AFiq1w/lef49WZZ9O/Daevse4F/ned70jGxoaAAay1tDQ8MFQp7n\n7wQ+Wy8Pge8CdgN/kOf5KwlNs2+rd/9V4P15nn8X8NPANZtO9avAR/M8/wng+4F/l2XZ5Xme/yTw\ni8ANhFZBv/4shJsG/gL4ifp8Pwn8WZ7nDwP/BnB5nt9fW9UeA74vy7IM+Kk8z/9Znuc/TugV+Yt/\np8FpaGi4oGgsbw0NDRcyi3meT5poHwJ21Mu3AT8LkOf5cpZlD2065puBKMuyW+r1wwSL2aPATwH3\nAD+a5/kbnsXzZwTL2U9kWTZpan+6tu59GPitOkZvDThZWwVfCyRZlv0XQn/JLhB/eS+7oaHhQqYR\nbw0NDRcyxaZly7P3NvynPM/vBsiyLK6PJc/zKsuyu4DXZ1k2P2mK/gz4PM//+WQly7J2bRkky7Lf\nA74PWCa4cSccPO+YzrO87oaGhr8HNG7ThoaGCxVRT0/Gh4FXA2RZNsu5btP3Ad+0af2PCe5Xsiz7\nLuBdwG8A/98zPDeERIhTWZa9sj6+VZ9/wu8TkiyyPM8P1ts+BLxsItiyLLuBjUSFp3tNDQ0Nf08Q\n3j/nSVENDQ0NX3PqhIWfJiQG/DDwI8CbCQkGB4Ffrx/734ERwdJ1CugDNwGPA/+ifuzXgLOEH7if\nzvP87VmW/V/A/wH8bwRX6NuBdwDfl+f5aNN1/BLwQ8Av5nn+Y1mWXQ/8PwS37SzwG3me37dp//cB\n/yPP8/++adtbge/YdMyPEtynvwq8HPi/8zz/nedi3BoaGl54NOKtoaGhoaGhoeEFROM2bWhoaGho\naGh4AdGIt4aGhoaGhoaGFxCNeGtoaGhoaGhoeAHRiLeGhoaGhoaGhhcQjXhraGhoaGhoaHgB0Yi3\nhoaGhoaGhoYXEI14a2hoaGhoaGh4AfH/AzG8f/unxcukAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c6e95d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# @savefig gamma-5.pdf\n",
    "gammas_k2.plot(figsize=(10, 5), legend=False);\n",
    "plt.xlabel('index level');\n",
    "plt.ylabel('$K^2$ weighted dollar gamma');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## VSTOXX as Volatility Index"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:team@tpq.io\">team@tpq.io</a>\n",
    "\n",
    "**DX Analytics** |\n",
    "<a href=\"http://dx-analytics.com\">http://dx-analytics.com</a>\n",
    "\n",
    "**Quant Platform** |\n",
    "<a href=\"http://quant-platform.com\">http://quant-platform.com</a>\n",
    "\n",
    "**Python for Finance Books** |\n",
    "<a href=\"http://books.tpq.io\" target=\"_blank\">http://books.tpq.io</a>\n",
    "\n",
    "**Python for Finance Training** |\n",
    "<a href=\"http://training.tpq.io\" target=\"_blank\">http://training.tpq.io</a>"
   ]
  }
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